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From Gauge Anomalie...
From Gauge Anomalies to Gerbes and Gerbal Representations : Group Cocycles in Quantum Theory
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- Mickelsson, Jouko (författare)
- KTH,Matematisk fysik
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(creator_code:org_t)
- 2010-01-03
- 2010
- Engelska.
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Ingår i: Acta Polytechnica: Journal of Advanced Engineering. - : Czech Technical University in Prague - Central Library. - 1210-2709 .- 1805-2363. ; 50:3, s. 42-47
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https://ojs.cvut.cz/...
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Abstract
Ämnesord
Stäng
- In this paper I shall discuss the role of group cohomology in quantum mechanics and quantum field theory. First, I recall how cocycles of degree 1 and 2 appear naturally in the context of gauge anomalies. Then we investigate how group cohomology of degree 3 comes from a prolongation problem for group extensions and we discuss its role in quantum field theory. Finally, we discuss a generalization to representation theory where a representation is replaced by a 1-cocycle or its prolongation by a circle, and point out how this type of situations come up in the quantization of Yang-Mills theory.
Ämnesord
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
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