English

On space-time noncommutative theories at finite temperature

High Energy Physics - Theory 2008-11-26 v2

Abstract

We analyze renormalization and the high temperature expansion of the one-loop effective action of the space-time noncommutative \phi^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.

Keywords

Cite

@article{arxiv.0705.4294,
  title  = {On space-time noncommutative theories at finite temperature},
  author = {A. V. Strelchenko and D. V. Vassilevich},
  journal= {arXiv preprint arXiv:0705.4294},
  year   = {2008}
}
R2 v1 2026-06-21T08:33:08.918Z