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arXiv · 0705.4294

On space-time noncommutative theories at finite temperature

A. V. Strelchenko·D. V. Vassilevich
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Abstract

We analyze renormalization and the high temperature expansion of the one-loop effective action of the space-time noncommutative ϕ^4 theory by using the zeta function regularization in the imaginary time formalism (i.e., on S^1 x R^3). 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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A. V. Strelchenko, D. V. Vassilevich. 2007-06-05. On space-time noncommutative theories at finite temperature. https://doi.org/10.1103/physrevd.76.065014

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