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Definition of Chern-Simons Terms in Thermal QED 3 Revisited

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Abstract:

We present two compact derivations of the correct definition of the Chern-Simons term in the topologically non trivial context of thermal QED 3. One is based on a transgression descent from a D= 4 background connection, the other on embedding the abelian model in SU(2). The results agree with earlier cohomology conclusions and can be also used to justify a recent simple heuristic approach. The correction to the naive Chern-Simons term, and its behavior under large gauge transformations are displayed.

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Authors and Affiliations

  1. Department of Physics, Brandeis University, Waltham, MA 02254, USA.¶E-mail: Deser@binah.cc.brandeis.edu, Seminara@binah.cc.brandeis.edu, , , , , , US

    S. Deser & D. Seminara

  2. Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. E-mail: Griguolo@irene.mit.edu, , , , , , US

    L. Griguolo

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  1. S. Deser
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  2. L. Griguolo
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  3. D. Seminara
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Received: 28 December 1997 / Accepted: 27 March 1998

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Deser, S., Griguolo, L. & Seminara, D. Definition of Chern-Simons Terms in Thermal QED 3 Revisited. Comm Math Phys 197, 443–450 (1998). https://doi.org/10.1007/s002200050459

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  • DOI: https://doi.org/10.1007/s002200050459

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