Transforming to Lorentz gauge on de Sitter

Shun-Pei Miao, N. C. Tsamis, R. P. Woodard

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

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 that 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.

Original languageEnglish
Article number122502
JournalJournal of Mathematical Physics
Volume50
Issue number12
DOIs
Publication statusPublished - 2009 Dec 1

Fingerprint

Gauge
Invariant
Gauge Transformation
Propagator
Vector Potential
Linearization
Invariance
Resolve
propagation
gravitons
Eliminate
linearization
functionals
fixing
invariance
Dependent
electromagnetism
Demonstrate

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Miao, Shun-Pei ; Tsamis, N. C. ; Woodard, R. P. / Transforming to Lorentz gauge on de Sitter. In: Journal of Mathematical Physics. 2009 ; Vol. 50, No. 12.
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Transforming to Lorentz gauge on de Sitter. / Miao, Shun-Pei; Tsamis, N. C.; Woodard, R. P.

In: Journal of Mathematical Physics, Vol. 50, No. 12, 122502, 01.12.2009.

Research output: Contribution to journalArticle

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