The static effective action for non-commutative QED at high temperature

Details The static effective action for non-commutative QED at high temperature The static effective action for non-commutative QED at high temperature

2002-12-08

arxiv.org/abs/hep-th/0212090v2

Phys.Rev.D67:105010,2003

Physics

High Energy Physics

High Energy Physics - Theory

13 pages and 4 figures. Revised version to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.67.105010

In this paper, we systematically study the effective action for non-commutative QED in the static limit at high temperature. When $\theta p^{2}\ll 1$, where $\theta$ represents the magnitude of the parameter for non-commutativity and $p$ denotes a typical external three momentum, we show that this leads naturally to a derivative expansion in this model. The study of the self-energy, in this limit, leads to nontrivial $\theta$ dependent corrections to the electric and magnetic masses, which exist only above a certain critical temperature. The three point and the four point amplitudes are also studied as well as their relations to the Ward identities in this limit. We determine the closed form expression for the current involving only the spatial components of the gauge field and present the corresponding static effective action, which is gauge invariant.

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