Field Theory Phase Factor vs Anomaly
In this paper on topological quantum field theories the authors discuss something called the anomaly in section 5. In Witten's paper on field theory and the Jone's polynomial he discusses something called the phase ambiguity on page 390. Are the anomaly and the phase ambiguity related?
Edit: I originally referenced the wrong page and term in Witten's paper. Fixed it.
physics mathematical-physics low-dimensional-topology
asked Oct 22 '18 at 0:03
Bob
66949
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In this paper on topological quantum field theories the authors discuss something called the anomaly in section 5. In Witten's paper on field theory and the Jone's polynomial he discusses something called the phase ambiguity on page 390. Are the anomaly and the phase ambiguity related?
Edit: I originally referenced the wrong page and term in Witten's paper. Fixed it.
physics mathematical-physics low-dimensional-topology
asked Oct 22 '18 at 0:03
Bob
66949
add a comment |
In this paper on topological quantum field theories the authors discuss something called the anomaly in section 5. In Witten's paper on field theory and the Jone's polynomial he discusses something called the phase ambiguity on page 390. Are the anomaly and the phase ambiguity related?
Edit: I originally referenced the wrong page and term in Witten's paper. Fixed it.
physics mathematical-physics low-dimensional-topology
asked Oct 22 '18 at 0:03
Bob
66949
In this paper on topological quantum field theories the authors discuss something called the anomaly in section 5. In Witten's paper on field theory and the Jone's polynomial he discusses something called the phase ambiguity on page 390. Are the anomaly and the phase ambiguity related?
Edit: I originally referenced the wrong page and term in Witten's paper. Fixed it.
physics mathematical-physics low-dimensional-topology
physics mathematical-physics low-dimensional-topology
asked Oct 22 '18 at 0:03
Bob
66949
asked Oct 22 '18 at 0:03
Bob
66949
edited Oct 22 '18 at 0:21
asked Oct 22 '18 at 0:03
Bob
66949
asked Oct 22 '18 at 0:03
Bob
66949
asked Oct 22 '18 at 0:03
Bob
66949
66949
add a comment |
add a comment |
1 Answer
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Yes, the "phase ambiguity" in the Witten's paper is the so-called framing anomaly; The Witten-Reshetikhin-Turaev invariant gains an extra phase factor once you change the framing of a 3-manifold, but this problem is fixed by using the canonical 2-framing.
It seems that in the paper you referenced, the $theta$ map is a Dehn twist, and the "anomaly" is a sort of framing anomaly in this sense.
answered Nov 29 '18 at 19:22
Henry Park
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1 Answer
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Yes, the "phase ambiguity" in the Witten's paper is the so-called framing anomaly; The Witten-Reshetikhin-Turaev invariant gains an extra phase factor once you change the framing of a 3-manifold, but this problem is fixed by using the canonical 2-framing.
It seems that in the paper you referenced, the $theta$ map is a Dehn twist, and the "anomaly" is a sort of framing anomaly in this sense.
answered Nov 29 '18 at 19:22
Henry Park
1,700724
add a comment |
Yes, the "phase ambiguity" in the Witten's paper is the so-called framing anomaly; The Witten-Reshetikhin-Turaev invariant gains an extra phase factor once you change the framing of a 3-manifold, but this problem is fixed by using the canonical 2-framing.
It seems that in the paper you referenced, the $theta$ map is a Dehn twist, and the "anomaly" is a sort of framing anomaly in this sense.
answered Nov 29 '18 at 19:22
Henry Park
1,700724
add a comment |
Yes, the "phase ambiguity" in the Witten's paper is the so-called framing anomaly; The Witten-Reshetikhin-Turaev invariant gains an extra phase factor once you change the framing of a 3-manifold, but this problem is fixed by using the canonical 2-framing.
It seems that in the paper you referenced, the $theta$ map is a Dehn twist, and the "anomaly" is a sort of framing anomaly in this sense.
answered Nov 29 '18 at 19:22
Henry Park
1,700724
Yes, the "phase ambiguity" in the Witten's paper is the so-called framing anomaly; The Witten-Reshetikhin-Turaev invariant gains an extra phase factor once you change the framing of a 3-manifold, but this problem is fixed by using the canonical 2-framing.
It seems that in the paper you referenced, the $theta$ map is a Dehn twist, and the "anomaly" is a sort of framing anomaly in this sense.
answered Nov 29 '18 at 19:22
Henry Park
1,700724
answered Nov 29 '18 at 19:22
Henry Park
1,700724
answered Nov 29 '18 at 19:22
Henry Park
1,700724
answered Nov 29 '18 at 19:22
Henry Park
1,700724
1,700724
add a comment |
add a comment |
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