Breaking of scaling symmetry by massless scalar on de Sitter

Abstract

We study the response of a classical massless minimally coupled scalar to a static point scalar charge on de Sitter. By considering explicit solutions of the problem we conclude that -- even though the dynamics formally admits dilatation (scaling) symmetry -- the physical scalar field profile necessarily breaks the symmetry. This is an instance of symmetry breaking in classical physics due to large infrared effects. The gravitational backreaction, on the other hand, does respect dilatation symmetry, making this an example of symmetry non-inheritance phenomenon.

arXiv comment10 pages

References in corpus (11)

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• Quantum effects can render w<-1 on cosmological scales
• Super-Acceleration from Massless, Minimally Coupled ${\varphi }^4$
• Translational Invariance and the Anisotropy of the Cosmic Microwave Background
• Classical radiation by free-falling charges in de Sitter spacetime
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Cited by in corpus (6)

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• Single Graviton Loop Contribution to the Self-Mass of a Massless, Conformally Coupled Scalar on de Sitter Background
• Photon propagator in de Sitter space in the general covariant gauge
• The cosmic trimmer: Black-hole hair in scalar-Gauss-Bonnet gravity is altered by cosmology
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background