On space-time noncommutative theories at finite temperature

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.

24 pages, v2: minor changes

References in corpus (2)

• Fermionic Contributions to the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature
• Induced Chern-Simons action on noncommutative torus

Cited by in corpus (5)

• Quantum corrections to the noncommutative kink
• Heat Trace Asymptotics on Noncommutative Spaces
• Divergences in the vacuum energy for frequency-dependent interactions
• Noncommutative real scalar field theory in 2+1 dimensions at finite temperature
• On space-time noncommutative U(1) model at high temperature