In the worldline approach to non-Abelian field theory the colour degrees of freedom of the coupling to the gauge potential can be incorporated using worldline “colour” fields. The colour fields generate Wilson loop interactions whilst Chern-Simons terms project onto an irreducible representation of the gauge group. We analyse this augmented worldline theory in phase space focusing on its supersymmetry and constraint algebra, arriving at a locally supersymmetric theory in superspace. We demonstrate canonical quantisation and the path integral on S1for simple representations of SU(N).

Worldline colour fields and non-Abelian quantum field theory / Edwards, James; Corradini, Olindo. - In: EPJ WEB OF CONFERENCES. - ISSN 2101-6275. - 182(2018), p. 02038. ((Intervento presentato al convegno 6th International Conference on New Frontiers in Physics, ICNFP 2017 tenutosi a OAC, grc nel 2017 [10.1051/epjconf/201818202038].

Worldline colour fields and non-Abelian quantum field theory

Olindo Corradini
2018

Abstract

In the worldline approach to non-Abelian field theory the colour degrees of freedom of the coupling to the gauge potential can be incorporated using worldline “colour” fields. The colour fields generate Wilson loop interactions whilst Chern-Simons terms project onto an irreducible representation of the gauge group. We analyse this augmented worldline theory in phase space focusing on its supersymmetry and constraint algebra, arriving at a locally supersymmetric theory in superspace. We demonstrate canonical quantisation and the path integral on S1for simple representations of SU(N).
6th International Conference on New Frontiers in Physics, ICNFP 2017
OAC, grc
2017
182
02038
Edwards, James; Corradini, Olindo
Worldline colour fields and non-Abelian quantum field theory / Edwards, James; Corradini, Olindo. - In: EPJ WEB OF CONFERENCES. - ISSN 2101-6275. - 182(2018), p. 02038. ((Intervento presentato al convegno 6th International Conference on New Frontiers in Physics, ICNFP 2017 tenutosi a OAC, grc nel 2017 [10.1051/epjconf/201818202038].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/1166782
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