The one-loop photon self-energy in Rarita-Schwinger QED is computed in 2, 3, and 4 dimensions, giving the Schwinger mass in 2D and higher-derivative-dominated pole structures in 3D.
General structure of the photon self-energy in non-commutative QED
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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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On the photon mass generation in Rarita-Schwinger QED
The one-loop photon self-energy in Rarita-Schwinger QED is computed in 2, 3, and 4 dimensions, giving the Schwinger mass in 2D and higher-derivative-dominated pole structures in 3D.