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Large gauge invariance in non-Abelian finite temperature effective actions

Deser, S. and Griguolo, L. and Seminara, D. (2003) Large gauge invariance in non-Abelian finite temperature effective actions. Physical Review D, 67 (6). Art. No. 065016. ISSN 2470-0010. doi:10.1103/PhysRevD.67.065016.

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We analyze large gauge invariance in the non-Abelian, finite temperature context and its physical consequences for D = 3 effective actions. After briefly reviewing the structure of bundles and large gauge transformations that arise in nonsimply connected 3-manifolds and gauge groups, we discuss their connections to Chern-Simons terms and Wilson-Polyakov loops. We then provide an invariant characterization of the “Abelian” fluxes encountered in explicit computations of finite temperature effective actions. In particular we relate, and provide explicit realizations of, these fluxes to a topological index that measures the obstruction to global diagonalization of the loops around compactified time. We also explore the fate of, and exhibit some everywhere smooth, large transformations for nonvanishing index in various topologies.

Item Type:Article
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URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 2003 American Physical Society. (Received 12 December 2002; published 27 March 2003) This work was supported by the National Science Foundation under grant PHY99-73935; D.S. was supported by TMR grant FMRX CT96-0045. D.S. and L.G. were supported by the Bruno Rossi program during the final phase of this work, begun in the previous millennium; both thank MIT for its warm hospitality. We thank C. Isham for useful correspondence.
Funding AgencyGrant Number
Bruno Rossi programUNSPECIFIED
Issue or Number:6
Classification Code:PACS numbers: 11.10.Wx, 11.15.Bt, 11.30.Er, 11.30.Rd
Record Number:CaltechAUTHORS:20170127-154532030
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Official Citation:Large gauge invariance in non-Abelian finite temperature effective actions S. Deser, L. Griguolo, and D. Seminara Phys. Rev. D 67, 065016
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73797
Deposited By: George Porter
Deposited On:28 Jan 2017 00:03
Last Modified:11 Nov 2021 05:22

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