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.
N1 - Funding Information:
We are grateful to Ivica Smolić for a critical reading of the manuscript and for drawing our attention to the symmetry non-inheritance phenomena. This work was partially supported by the Fonds de la Recherche Scientifique – FNRS under Grant IISN 4.4517.08 – Theory of fundamental interactions, by Taiwan MOST grants 103-2112-M-006-001-MY3 and 107-2119-M-006-014 ; by the D-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science ( OCW ); by NSF grants PHY-1806218 and PHY-1912484 ; and by the Institute for Fundamental Theory at the University of Florida .
Publisher Copyright:
© 2019 The Author(s)
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.
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U2 - 10.1016/j.physletb.2019.134944
DO - 10.1016/j.physletb.2019.134944
M3 - Article
AN - SCOPUS:85072705746
SN - 0370-2693
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
M1 - 134944
ER -