De Sitter breaking through infrared divergences

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

Research output: Contribution to journalArticle

49 Citations (Scopus)

Abstract

Just because the propagator of some field obeys a de Sitter invariant equation does not mean it possesses a de Sitter invariant solution. The classic example is the propagator of a massless, minimally coupled scalar. We show that the same thing happens for massive scalars with M S 2<0 and for massive transverse vectors with M V 2≤-2(D-1)H 2, where D is the dimension of space-time and H is the Hubble parameter. Although all masses in these ranges give infrared divergent mode sums, using dimensional regularization (or any other analytic continuation technique) to define the mode sums leads to the incorrect conclusion that de Sitter invariant solutions exist except at discrete values of the masses.

Original languageEnglish
Article number038006JMP
JournalJournal of Mathematical Physics
Volume51
Issue number7
DOIs
Publication statusPublished - 2010 Jul 1

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Invariant Solutions
Propagator
Divergence
divergence
Infrared
Scalar
scalars
propagation
Analytic Continuation
Thing
Regularization
Transverse
Space-time
Invariant
Range of data

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Miao, Shun-Pei ; Tsamis, N. C. ; Woodard, R. P. / De Sitter breaking through infrared divergences. In: Journal of Mathematical Physics. 2010 ; Vol. 51, No. 7.
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De Sitter breaking through infrared divergences. / Miao, Shun-Pei; Tsamis, N. C.; Woodard, R. P.

In: Journal of Mathematical Physics, Vol. 51, No. 7, 038006JMP, 01.07.2010.

Research output: Contribution to journalArticle

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