Transforming to Lorentz Gauge on de Sitter

Details Transforming to Lorentz Gauge on de Sitter Transforming to Lorentz Gauge on de Sitter

2009-07-28

arxiv.org/abs/0907.4930v1

J.Math.Phys.50:122502,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

45 pages

Scientific paper

10.1063/1.3266179

We demonstrate that certain gauge fixing functionals cannot be added to the action on backgrounds such as de Sitter in which a linearization instability is present. We also construct the field dependent gauge transformation which carries the electromagnetic vector potential from a convenient, non-de Sitter invariant gauge to the de Sitter invariant, Lorentz gauge. The transformed propagator agrees with the de Sitter invariant result previously found by solving the propagator equation in Lorentz gauge. This shows that the gauge transformation technique will eliminate unphysical breaking of de Sitter invariance introduced by a gauge condition. It is suggested that the same technique can be used to finally resolve the issue of whether or not free gravitons are de Sitter invariant.

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