General structure of the photon self-energy in non-commutative QED

Details General structure of the photon self-energy in non-commutative QED General structure of the photon self-energy in non-commutative QED

2001-12-14

arxiv.org/abs/hep-th/0112127v2

Phys.Rev.D65:085017,2002

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, revtex4. This is the final version to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.65.085017

We study the behavior of the photon two point function, in non-commutative QED, in a general covariant gauge and in arbitrary space-time dimensions. We show, to all orders, that the photon self-energy is transverse. Using an appropriate extension of the dimensional regularization method, we evaluate the one-loop corrections, which show that the theory is renormalizable. We also prove, to all orders, that the poles of the photon propagator are gauge independent and briefly discuss some other related aspects.

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