Radiative corrections to the Chern–Simons term at finite temperature in the noncommutative Chern–Simons–Higgs model

DOI10.1088/0305-4470/37/42/011zbMATH Open1067.81123arXivhep-th/0301124OpenAlexW3102378617MaRDI QIDQ4662135

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Publication date: 30 March 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Abstract: By analyzing the odd parity part of the gauge field two and three point vertex functions, the one-loop radiative correction to the Chern-Simons coefficient is computed in noncommutative Chern-Simons-Higgs model at zero and at high temperature. At high temperature, we show that the static limit of this correction is proportional to $T$ but the first noncommutative correction increases as $TlogT$. Our results are analytic functions of the noncommutative parameter.

Full work available at URL: https://arxiv.org/abs/hep-th/0301124

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization in field theory; cohomological methods (81T70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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