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Infrared Issues in Graviton Higgs Theory

2013/01/30 by Srijit Bhattacharjee, Bhattacharjee, Srijit, Parthasarathi Majumdar +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1301.7312

Proceedings of Thirteenth Marcel Grossmann Meeting, Stockholm, July, 2012. Based on arXiv:1210.0497

arxiv created 2013/01/30 · arxiv updated 2013/01/31

Abstract

We investigate the one-loop infrared behaviour of the effective potential in minimally coupled graviton Higgs theory in Minkowski background. The gravitational analogue of one loop Coleman Weinberg effective potential turns out to be complex, the imaginary part indicating an infrared instability. This instability is traced to a tachyonic pole in the graviton propagator for constant Higgs fields. Physical implications of this behaviour are studied. We also discuss physical differences between gauge theories coupled to Higgs fields and graviton Higgs theory.

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