### 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.

Original language | English |
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Article number | 134944 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 798 |

DOIs | |

Publication status | Published - 2019 Nov 10 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*798*, [134944]. https://doi.org/10.1016/j.physletb.2019.134944

}

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 798, 134944. https://doi.org/10.1016/j.physletb.2019.134944

**Breaking of scaling symmetry by massless scalar on de Sitter.** / Glavan, D.; Miao, S. P.; Prokopec, T.; Woodard, R. P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Breaking of scaling symmetry by massless scalar on de Sitter

AU - Glavan, D.

AU - Miao, S. P.

AU - Prokopec, T.

AU - Woodard, R. P.

PY - 2019/11/10

Y1 - 2019/11/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85072705746&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072705746&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2019.134944

DO - 10.1016/j.physletb.2019.134944

M3 - Article

AN - SCOPUS:85072705746

VL - 798

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 134944

ER -