On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature

Details On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature

2006-05-23

arxiv.org/abs/hep-th/0605240v3

Nucl.Phys.B754:146-177,2006

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 37 figures. Matches published version in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2006.07.011

We compute higher order contributions to the free energy of noncommutative quantum electrodynamics at a nonzero temperature $T$. Our calculation includes up to three-loop contributions (fourth order in the coupling constant $e$). In the high temperature limit we sum all the {\it ring diagrams} and obtain a result which has a peculiar dependence on the coupling constant. For large values of $e\theta T^2$ ($\theta$ is the magnitude of the noncommutative parameters) this non-perturbative contribution exhibits a non-analytic behavior proportional to $e^3$. We show that above a certain critical temperature, there occurs a thermodynamic instability which may indicate a phase transition.

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