Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
Abstract
In this contribution to the Proceedings of the Corfu Summer Institute 2015 we present our study on photon self-interaction in the deformed U(1) gauge field theory defined via Seiberg-Witten map. We derive the theta-exact expressions for the four photon self-coupling in this theory with a large number of gauge symmetry inspired freedom parameters included. The physical effect of four photon self-coupling is accessed by its contribution to photon polarization tensor via 1-loop four-photon-tadpole-diagram. The four-photon tadpole diagram consists the same tensorial structures as the photon self-interacting bubble diagram we studied before, with however only quadratically IR divergent coefficients. We show that there exists a unique combination of gauge symmetry inspired freedoms which induces full quadratic IR divergence cancellation for arbitrary noncommutative parameter theta once the photon self-interacting bubble and tadpole diagrams are summed over.
Keywords
Cite
@article{arxiv.1506.02864,
title = {Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution},
author = {Raul Horvat and Josip Trampetic and Jiangyang You},
journal= {arXiv preprint arXiv:1506.02864},
year = {2016}
}
Comments
14 pages, 2 figures, Proceedings of the Corfu Summer Institute 2015 "School and Workshops on Elementary Particle Physics and Gravity, 1-27 September 2015, Corfu, Greece