2007/12/31 by Alexei Strelchenko, A Strelchenko
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge theory #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Renormalization #Spacetime #TRACE (psycholinguistics) #hep-th
paper · pdf · doi:10.1088/1751-8113/41/16/164073
published as J.Phys.A41:164073,2008 · 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
arxiv created 2008/01/30 · openalex publication_date 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We extend the results of Strelchenko and Vassilevich (2007 Phys. Rev. D 76 065014) to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method, we analyse 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 × R 3 manifold taken in an arbitrary background gauge is investigated. All possible types of noncommutativity on S 1 × 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.