# Space-time noncommutative theories at finite temperature

@article{Strelchenko2007SpacetimeNT,
title={Space-time noncommutative theories at finite temperature},
author={Alexei Strelchenko and Dmitri Vassilevich},
journal={Physical Review D},
year={2007},
volume={76},
pages={065014}
}
• Published 29 May 2007
• Physics
• Physical Review D
We analyze renormalization and the high-temperature expansion of the one-loop effective action of the space-time noncommutative {phi}{sup 4} theory by using the zeta-function regularization in the imaginary-time formalism (i.e., on S{sup 1}xR{sup 3}). Interestingly enough, there are no mixed (nonplanar) 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…
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