On space-time noncommutative U(1) model at high temperature

Abstract

We extend the results of Ref. [arXiv:0705.4294] to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method, we analyze renormalization issues and the high-temperature asymptotics of the one-loop Euclidean free energy of the noncommutative U(1) gauge model within imaginary time formalism. As a by-product, the heat trace of the non-minimal photon kinetic operator on noncommutative $S^1\times R^3$ manifold taken in an arbitrary background gauge is investigated. All possible types of noncommutativity on $S^1\times R^3$ are considered. It is demonstrated that the non-planar sector of the model does not contribute to the free energy of the system at high temperature. The obtained results are discussed.

Talk given at the 8th Workshop "Quantum Field Theory Under the Influence of External Conditions", Leipzig, Germany, 17-21 September 2007; 7 pages, v2: minor changes

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