On space-time noncommutative theories at finite temperature

2007/05/31 by A. V. Strelchenko, D. V. Vassilevich · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.76.065014

published as Phys.Rev.D76:065014,2007 · 24 pages, v2: minor changes

arxiv created 2007/06/05 · arxiv updated 2009/12/01

Abstract

We analyze renormalization and the high temperature expansion of the one-loop effective action of the space-time noncommutative ϕ⁴ theory by using the zeta function regularization in the imaginary time formalism (i.e., on S¹ x R³). Interestingly enough, there are no mixed (non-planar) contributions to the counterterms as well as to the power-law high temperature asymptotics. We also study the Wick rotation and formulate assumptions under which the real and imaginary time formalisms are equivalent.

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