Inline Feynman diagrams, Feynman diagrams in equations, very small Feynman diagrams
I'd like to typeset equations like:
I have tried this with the tikz-feynman library, but the diagrams generated by it are just way too large, even with the small option (and also just look awkward). Optimally, I want to type simple diagrams even inline with the text, so that I can avoid awkwardly describing the diagram or using a lot of space and breaking the flow of the document to display the diagram.
inline feynman
add a comment |
I'd like to typeset equations like:
I have tried this with the tikz-feynman library, but the diagrams generated by it are just way too large, even with the small option (and also just look awkward). Optimally, I want to type simple diagrams even inline with the text, so that I can avoid awkwardly describing the diagram or using a lot of space and breaking the flow of the document to display the diagram.
inline feynman
1
Welcome to TeX.SE. I like very much your question. Good LaTeX.
– Sebastiano
Feb 23 at 10:44
1
Using normal inline TikZ bytikz
may be a solution.
– JouleV
Feb 23 at 10:55
add a comment |
I'd like to typeset equations like:
I have tried this with the tikz-feynman library, but the diagrams generated by it are just way too large, even with the small option (and also just look awkward). Optimally, I want to type simple diagrams even inline with the text, so that I can avoid awkwardly describing the diagram or using a lot of space and breaking the flow of the document to display the diagram.
inline feynman
I'd like to typeset equations like:
I have tried this with the tikz-feynman library, but the diagrams generated by it are just way too large, even with the small option (and also just look awkward). Optimally, I want to type simple diagrams even inline with the text, so that I can avoid awkwardly describing the diagram or using a lot of space and breaking the flow of the document to display the diagram.
inline feynman
inline feynman
asked Feb 23 at 10:40
LeonardLeonard
634
634
1
Welcome to TeX.SE. I like very much your question. Good LaTeX.
– Sebastiano
Feb 23 at 10:44
1
Using normal inline TikZ bytikz
may be a solution.
– JouleV
Feb 23 at 10:55
add a comment |
1
Welcome to TeX.SE. I like very much your question. Good LaTeX.
– Sebastiano
Feb 23 at 10:44
1
Using normal inline TikZ bytikz
may be a solution.
– JouleV
Feb 23 at 10:55
1
1
Welcome to TeX.SE. I like very much your question. Good LaTeX.
– Sebastiano
Feb 23 at 10:44
Welcome to TeX.SE. I like very much your question. Good LaTeX.
– Sebastiano
Feb 23 at 10:44
1
1
Using normal inline TikZ by
tikz
may be a solution.– JouleV
Feb 23 at 10:55
Using normal inline TikZ by
tikz
may be a solution.– JouleV
Feb 23 at 10:55
add a comment |
1 Answer
1
active
oldest
votes
AFAIK you do not get bent arrows with tikz-feynman
. And since you seem not to need the graph drawing algorithms (and since they cannot be uploaded to the arXv), you may just work with plain TikZ.
documentclass[fleqn]{article}
usepackage{amsmath}
usepackage{mathrsfs}
usepackage{tikz}
usetikzlibrary{arrows.meta,bending,decorations.markings}
% from https://tex.stackexchange.com/a/430239/121799
tikzset{% inspired by https://tex.stackexchange.com/a/316050/121799
arc arrow/.style args={%
to pos #1 with length #2}{
decoration={
markings,
mark=at position 0 with {pgfextra{%
pgfmathsetmacro{tmpArrowTime}{#2/(pgfdecoratedpathlength)}
xdeftmpArrowTime{tmpArrowTime}}},
mark=at position {#1-tmpArrowTime} with {coordinate(@1);},
mark=at position {#1-2*tmpArrowTime/3} with {coordinate(@2);},
mark=at position {#1-tmpArrowTime/3} with {coordinate(@3);},
mark=at position {#1} with {coordinate(@4);
draw[-{Triangle[length=#2,bend]}]
(@1) .. controls (@2) and (@3) .. (@4);},
},
postaction=decorate,
},
fermion arc arrow/.style={arc arrow=to pos #1 with length 2.5mm},
Vertex/.style={fill,circle,inner sep=1.5pt},
insert vertex/.style={decoration={
markings,
mark=at position #1 with {node[Vertex]{};},
},
postaction=decorate}
}
DeclareMathOperator{tr}{tr}
begin{document}
[mathscr{P}(varphi)=-sumlimits_{n=1}^inftytrleft(Delta L_{12}right)^n
=vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex=0,fermion arc arrow={0.55}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+frac{1}{2}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,0.5}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.3,0.8}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}
+frac{1}{3}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,1/3,2/3}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.21,0.55,0.88}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+dots;.
]
[
G(x_1,dots x_n)=sumlimits_{m=0}^inftyfrac{1}{m!}
begin{tikzpicture}[baseline={(X.base)}]
node[circle,draw,thick,inner sep=2pt] (X) at (0,0) {$n+m$};
foreach X in {60,90,120}
{draw[thick] (X:0.6) -- (X:0.9) node[Vertex]{};}
foreach X in {-60,-80,-100,-120}
{draw[thick] (X:0.6) -- (X:0.9);}
node[rotate=-30,overlay] at (-120:1.1){$x_1$};
node[rotate=30,overlay] at (-60:1.1){$x_n$};
node at (-90:1.1){$cdots$};
end{tikzpicture}
]
end{document}
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
1
@Sebastiano You can control the appearance by adjustingVertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.
– marmot
Feb 23 at 22:15
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
1
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
1
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
|
show 7 more comments
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1 Answer
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active
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
AFAIK you do not get bent arrows with tikz-feynman
. And since you seem not to need the graph drawing algorithms (and since they cannot be uploaded to the arXv), you may just work with plain TikZ.
documentclass[fleqn]{article}
usepackage{amsmath}
usepackage{mathrsfs}
usepackage{tikz}
usetikzlibrary{arrows.meta,bending,decorations.markings}
% from https://tex.stackexchange.com/a/430239/121799
tikzset{% inspired by https://tex.stackexchange.com/a/316050/121799
arc arrow/.style args={%
to pos #1 with length #2}{
decoration={
markings,
mark=at position 0 with {pgfextra{%
pgfmathsetmacro{tmpArrowTime}{#2/(pgfdecoratedpathlength)}
xdeftmpArrowTime{tmpArrowTime}}},
mark=at position {#1-tmpArrowTime} with {coordinate(@1);},
mark=at position {#1-2*tmpArrowTime/3} with {coordinate(@2);},
mark=at position {#1-tmpArrowTime/3} with {coordinate(@3);},
mark=at position {#1} with {coordinate(@4);
draw[-{Triangle[length=#2,bend]}]
(@1) .. controls (@2) and (@3) .. (@4);},
},
postaction=decorate,
},
fermion arc arrow/.style={arc arrow=to pos #1 with length 2.5mm},
Vertex/.style={fill,circle,inner sep=1.5pt},
insert vertex/.style={decoration={
markings,
mark=at position #1 with {node[Vertex]{};},
},
postaction=decorate}
}
DeclareMathOperator{tr}{tr}
begin{document}
[mathscr{P}(varphi)=-sumlimits_{n=1}^inftytrleft(Delta L_{12}right)^n
=vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex=0,fermion arc arrow={0.55}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+frac{1}{2}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,0.5}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.3,0.8}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}
+frac{1}{3}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,1/3,2/3}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.21,0.55,0.88}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+dots;.
]
[
G(x_1,dots x_n)=sumlimits_{m=0}^inftyfrac{1}{m!}
begin{tikzpicture}[baseline={(X.base)}]
node[circle,draw,thick,inner sep=2pt] (X) at (0,0) {$n+m$};
foreach X in {60,90,120}
{draw[thick] (X:0.6) -- (X:0.9) node[Vertex]{};}
foreach X in {-60,-80,-100,-120}
{draw[thick] (X:0.6) -- (X:0.9);}
node[rotate=-30,overlay] at (-120:1.1){$x_1$};
node[rotate=30,overlay] at (-60:1.1){$x_n$};
node at (-90:1.1){$cdots$};
end{tikzpicture}
]
end{document}
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
1
@Sebastiano You can control the appearance by adjustingVertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.
– marmot
Feb 23 at 22:15
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
1
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
1
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
|
show 7 more comments
AFAIK you do not get bent arrows with tikz-feynman
. And since you seem not to need the graph drawing algorithms (and since they cannot be uploaded to the arXv), you may just work with plain TikZ.
documentclass[fleqn]{article}
usepackage{amsmath}
usepackage{mathrsfs}
usepackage{tikz}
usetikzlibrary{arrows.meta,bending,decorations.markings}
% from https://tex.stackexchange.com/a/430239/121799
tikzset{% inspired by https://tex.stackexchange.com/a/316050/121799
arc arrow/.style args={%
to pos #1 with length #2}{
decoration={
markings,
mark=at position 0 with {pgfextra{%
pgfmathsetmacro{tmpArrowTime}{#2/(pgfdecoratedpathlength)}
xdeftmpArrowTime{tmpArrowTime}}},
mark=at position {#1-tmpArrowTime} with {coordinate(@1);},
mark=at position {#1-2*tmpArrowTime/3} with {coordinate(@2);},
mark=at position {#1-tmpArrowTime/3} with {coordinate(@3);},
mark=at position {#1} with {coordinate(@4);
draw[-{Triangle[length=#2,bend]}]
(@1) .. controls (@2) and (@3) .. (@4);},
},
postaction=decorate,
},
fermion arc arrow/.style={arc arrow=to pos #1 with length 2.5mm},
Vertex/.style={fill,circle,inner sep=1.5pt},
insert vertex/.style={decoration={
markings,
mark=at position #1 with {node[Vertex]{};},
},
postaction=decorate}
}
DeclareMathOperator{tr}{tr}
begin{document}
[mathscr{P}(varphi)=-sumlimits_{n=1}^inftytrleft(Delta L_{12}right)^n
=vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex=0,fermion arc arrow={0.55}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+frac{1}{2}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,0.5}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.3,0.8}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}
+frac{1}{3}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,1/3,2/3}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.21,0.55,0.88}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+dots;.
]
[
G(x_1,dots x_n)=sumlimits_{m=0}^inftyfrac{1}{m!}
begin{tikzpicture}[baseline={(X.base)}]
node[circle,draw,thick,inner sep=2pt] (X) at (0,0) {$n+m$};
foreach X in {60,90,120}
{draw[thick] (X:0.6) -- (X:0.9) node[Vertex]{};}
foreach X in {-60,-80,-100,-120}
{draw[thick] (X:0.6) -- (X:0.9);}
node[rotate=-30,overlay] at (-120:1.1){$x_1$};
node[rotate=30,overlay] at (-60:1.1){$x_n$};
node at (-90:1.1){$cdots$};
end{tikzpicture}
]
end{document}
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
1
@Sebastiano You can control the appearance by adjustingVertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.
– marmot
Feb 23 at 22:15
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
1
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
1
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
|
show 7 more comments
AFAIK you do not get bent arrows with tikz-feynman
. And since you seem not to need the graph drawing algorithms (and since they cannot be uploaded to the arXv), you may just work with plain TikZ.
documentclass[fleqn]{article}
usepackage{amsmath}
usepackage{mathrsfs}
usepackage{tikz}
usetikzlibrary{arrows.meta,bending,decorations.markings}
% from https://tex.stackexchange.com/a/430239/121799
tikzset{% inspired by https://tex.stackexchange.com/a/316050/121799
arc arrow/.style args={%
to pos #1 with length #2}{
decoration={
markings,
mark=at position 0 with {pgfextra{%
pgfmathsetmacro{tmpArrowTime}{#2/(pgfdecoratedpathlength)}
xdeftmpArrowTime{tmpArrowTime}}},
mark=at position {#1-tmpArrowTime} with {coordinate(@1);},
mark=at position {#1-2*tmpArrowTime/3} with {coordinate(@2);},
mark=at position {#1-tmpArrowTime/3} with {coordinate(@3);},
mark=at position {#1} with {coordinate(@4);
draw[-{Triangle[length=#2,bend]}]
(@1) .. controls (@2) and (@3) .. (@4);},
},
postaction=decorate,
},
fermion arc arrow/.style={arc arrow=to pos #1 with length 2.5mm},
Vertex/.style={fill,circle,inner sep=1.5pt},
insert vertex/.style={decoration={
markings,
mark=at position #1 with {node[Vertex]{};},
},
postaction=decorate}
}
DeclareMathOperator{tr}{tr}
begin{document}
[mathscr{P}(varphi)=-sumlimits_{n=1}^inftytrleft(Delta L_{12}right)^n
=vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex=0,fermion arc arrow={0.55}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+frac{1}{2}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,0.5}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.3,0.8}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}
+frac{1}{3}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,1/3,2/3}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.21,0.55,0.88}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+dots;.
]
[
G(x_1,dots x_n)=sumlimits_{m=0}^inftyfrac{1}{m!}
begin{tikzpicture}[baseline={(X.base)}]
node[circle,draw,thick,inner sep=2pt] (X) at (0,0) {$n+m$};
foreach X in {60,90,120}
{draw[thick] (X:0.6) -- (X:0.9) node[Vertex]{};}
foreach X in {-60,-80,-100,-120}
{draw[thick] (X:0.6) -- (X:0.9);}
node[rotate=-30,overlay] at (-120:1.1){$x_1$};
node[rotate=30,overlay] at (-60:1.1){$x_n$};
node at (-90:1.1){$cdots$};
end{tikzpicture}
]
end{document}
AFAIK you do not get bent arrows with tikz-feynman
. And since you seem not to need the graph drawing algorithms (and since they cannot be uploaded to the arXv), you may just work with plain TikZ.
documentclass[fleqn]{article}
usepackage{amsmath}
usepackage{mathrsfs}
usepackage{tikz}
usetikzlibrary{arrows.meta,bending,decorations.markings}
% from https://tex.stackexchange.com/a/430239/121799
tikzset{% inspired by https://tex.stackexchange.com/a/316050/121799
arc arrow/.style args={%
to pos #1 with length #2}{
decoration={
markings,
mark=at position 0 with {pgfextra{%
pgfmathsetmacro{tmpArrowTime}{#2/(pgfdecoratedpathlength)}
xdeftmpArrowTime{tmpArrowTime}}},
mark=at position {#1-tmpArrowTime} with {coordinate(@1);},
mark=at position {#1-2*tmpArrowTime/3} with {coordinate(@2);},
mark=at position {#1-tmpArrowTime/3} with {coordinate(@3);},
mark=at position {#1} with {coordinate(@4);
draw[-{Triangle[length=#2,bend]}]
(@1) .. controls (@2) and (@3) .. (@4);},
},
postaction=decorate,
},
fermion arc arrow/.style={arc arrow=to pos #1 with length 2.5mm},
Vertex/.style={fill,circle,inner sep=1.5pt},
insert vertex/.style={decoration={
markings,
mark=at position #1 with {node[Vertex]{};},
},
postaction=decorate}
}
DeclareMathOperator{tr}{tr}
begin{document}
[mathscr{P}(varphi)=-sumlimits_{n=1}^inftytrleft(Delta L_{12}right)^n
=vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex=0,fermion arc arrow={0.55}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+frac{1}{2}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,0.5}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.3,0.8}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}
+frac{1}{3}
vcenter{hbox{begin{tikzpicture}
draw[thick,insert vertex/.list={0,1/3,2/3}](0,0) arc(270:-90:0.6);
draw[fermion arc arrow/.list={0.21,0.55,0.88}] (0,0) arc(270:-90:0.6);
end{tikzpicture}}}+dots;.
]
[
G(x_1,dots x_n)=sumlimits_{m=0}^inftyfrac{1}{m!}
begin{tikzpicture}[baseline={(X.base)}]
node[circle,draw,thick,inner sep=2pt] (X) at (0,0) {$n+m$};
foreach X in {60,90,120}
{draw[thick] (X:0.6) -- (X:0.9) node[Vertex]{};}
foreach X in {-60,-80,-100,-120}
{draw[thick] (X:0.6) -- (X:0.9);}
node[rotate=-30,overlay] at (-120:1.1){$x_1$};
node[rotate=30,overlay] at (-60:1.1){$x_n$};
node at (-90:1.1){$cdots$};
end{tikzpicture}
]
end{document}
edited Feb 23 at 15:27
answered Feb 23 at 13:11
marmotmarmot
112k5143268
112k5143268
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
1
@Sebastiano You can control the appearance by adjustingVertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.
– marmot
Feb 23 at 22:15
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
1
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
1
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
|
show 7 more comments
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
1
@Sebastiano You can control the appearance by adjustingVertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.
– marmot
Feb 23 at 22:15
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
1
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
1
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
Excuse me very much for this opinion. Can you reduce the size of the three circles? Perhaps the image of the series is more beautiful to see. PS: But what is the matter of this argument in Physics?
– Sebastiano
Feb 23 at 22:11
1
1
@Sebastiano You can control the appearance by adjusting
Vertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.– marmot
Feb 23 at 22:15
@Sebastiano You can control the appearance by adjusting
Vertex/.style={fill,circle,inner sep=1.5pt},
. I do not know what this diagram is. If the propagators were dashed, there would be a resemblance to the loops that one has to compute for the Coleman-Weinberg potential.– marmot
Feb 23 at 22:15
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
I like very much your work. I not known the Coleman-Weinberg potential. Thank you very much. It will be between my favorities.
– Sebastiano
Feb 23 at 22:17
1
1
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
@Sebastiano To the best of my knowledge the term "dimensional transmutation" has been coined in the paper by Coleman and (Eric) Weinberg. It is a rather important observation. Whether or not the above has anything to do with it I do not know.
– marmot
Feb 23 at 22:22
1
1
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
@Sebastiano The second equation is just expressing the greenfunctions of a QFT in terms of a sum over all diagrams. The first is an intermediate step in a proof about the signs of feynman diagrams with fermionic fields. Both are taken from the excellent book "Functional methods in quantum field theory and statistical physics" by Vasiliev.
– Leonard
Feb 24 at 13:03
|
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Welcome to TeX.SE. I like very much your question. Good LaTeX.
– Sebastiano
Feb 23 at 10:44
1
Using normal inline TikZ by
tikz
may be a solution.– JouleV
Feb 23 at 10:55