skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Spontaneous breaking of conformal invariance, solitons, and gravitational waves in theories of conformally invariant gravitation

Abstract

We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we are required to find a mechanism for the spontaneous breaking of conformal invariance. In this paper we study the possibility that conformal invariance is spontaneously broken due to interactions with conformally coupled matter fields. The vacuum of the theory admits conformally noninvariant solutions corresponding to maximally symmetric space-times and variants thereof. These are either de Sitter space-time or anti-de Sitter space-time in the full four space-time dimensions and we find new solutions corresponding to maximal symmetry restricted to a lower dimensional subspace. We also consider normalizable, linearized gravitational perturbations around the anti-de Sitter background. We show to second order, that these gravitational fluctuations carry zero energy momentum. Finally we also show the possibility of domain wall solitons interpolating between the ground states of spontaneously broken conformal symmetry that we have found. These solitons necessarily require the vanishing of the scalar field. This offers a way of eschewing the recent suggestion and its consequences [E. Flanagan, Phys. Rev. D 74, 023002 (2006).] that themore » conformal symmetry could be quarantined to a sterile sector of the theory by choosing an appropriate field redefinition.« less

Authors:
 [1];  [1]
  1. Groupe de physique des particules, Departement de physique, Universite de Montreal, Case Postale 6128, succursale Centre-ville, Montreal, Quebec, H3C 3J7 (Canada)
Publication Date:
OSTI Identifier:
21250506
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 78; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.78.044022; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL INVARIANCE; DE SITTER GROUP; DISTURBANCES; FLUCTUATIONS; GRAVITATION; GRAVITATIONAL WAVES; GROUND STATES; INTERACTIONS; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; QUANTUM GRAVITY; SCALAR FIELDS; SOLITONS; SPACE-TIME; SYMMETRY; SYMMETRY BREAKING

Citation Formats

Bouchami, Jihene, Paranjape, M B, and Center for Quantum Spacetime, Department of Physics, Sogang University, Shinsu-dong 1, Mapo-gu, Seoul, 121-742. Spontaneous breaking of conformal invariance, solitons, and gravitational waves in theories of conformally invariant gravitation. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.78.044022.
Bouchami, Jihene, Paranjape, M B, & Center for Quantum Spacetime, Department of Physics, Sogang University, Shinsu-dong 1, Mapo-gu, Seoul, 121-742. Spontaneous breaking of conformal invariance, solitons, and gravitational waves in theories of conformally invariant gravitation. United States. https://doi.org/10.1103/PHYSREVD.78.044022
Bouchami, Jihene, Paranjape, M B, and Center for Quantum Spacetime, Department of Physics, Sogang University, Shinsu-dong 1, Mapo-gu, Seoul, 121-742. 2008. "Spontaneous breaking of conformal invariance, solitons, and gravitational waves in theories of conformally invariant gravitation". United States. https://doi.org/10.1103/PHYSREVD.78.044022.
@article{osti_21250506,
title = {Spontaneous breaking of conformal invariance, solitons, and gravitational waves in theories of conformally invariant gravitation},
author = {Bouchami, Jihene and Paranjape, M B and Center for Quantum Spacetime, Department of Physics, Sogang University, Shinsu-dong 1, Mapo-gu, Seoul, 121-742},
abstractNote = {We study conformal gravity as an alternative theory of gravitation. For conformal gravity to be phenomenologically viable requires that the conformal symmetry is not manifest at the energy scales of the other known physical forces. Hence we are required to find a mechanism for the spontaneous breaking of conformal invariance. In this paper we study the possibility that conformal invariance is spontaneously broken due to interactions with conformally coupled matter fields. The vacuum of the theory admits conformally noninvariant solutions corresponding to maximally symmetric space-times and variants thereof. These are either de Sitter space-time or anti-de Sitter space-time in the full four space-time dimensions and we find new solutions corresponding to maximal symmetry restricted to a lower dimensional subspace. We also consider normalizable, linearized gravitational perturbations around the anti-de Sitter background. We show to second order, that these gravitational fluctuations carry zero energy momentum. Finally we also show the possibility of domain wall solitons interpolating between the ground states of spontaneously broken conformal symmetry that we have found. These solitons necessarily require the vanishing of the scalar field. This offers a way of eschewing the recent suggestion and its consequences [E. Flanagan, Phys. Rev. D 74, 023002 (2006).] that the conformal symmetry could be quarantined to a sterile sector of the theory by choosing an appropriate field redefinition.},
doi = {10.1103/PHYSREVD.78.044022},
url = {https://www.osti.gov/biblio/21250506}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 78,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2008},
month = {Fri Aug 15 00:00:00 EDT 2008}
}