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Title: Classical and quantum conformal gravity

Abstract

Conformal gravity, based on the action quadratic in the Weyl conformal curvature, constitutes a scale-invariant, classically-confining, asymptotically-free theory of gravitation. This theory is examined with a view toward assessing its viability as an alternative to Einstein gravity at the fundamental level. First, by extending the manifestly-covariant, six-dimensional formalism of Dirac, it is shown that conformal gravity arises uniquely as the local gauge theory of the conformal group SU(2,2). The exact, spherically-symmetric, electrovac solutions of the classical theory are obtained. Next, it is argued that the phenomenologically-required breakdown of conformal invariance is a consequence of divergent quantum fluctuations and the resulting energy-momentum tensor trace anomaly. A non-local effective gravitational action reproducing this anomaly is constructed. Finally, the effect of asymptotic freedom and the consequential local confinement of energy-momentum is analyzed.

Authors:
Publication Date:
Research Org.:
California Univ., San Diego (USA)
OSTI Identifier:
6844972
Resource Type:
Thesis/Dissertation
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATION; CONFORMAL GROUPS; QUANTUM GRAVITY; ANALYTICAL SOLUTION; CONFORMAL INVARIANCE; ENERGY-MOMENTUM TENSOR; FLUCTUATIONS; SYMMETRY BREAKING; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; QUANTUM FIELD THEORY; SYMMETRY GROUPS; TENSORS; VARIATIONS; 645400* - High Energy Physics- Field Theory; 657003 - Theoretical & Mathematical Physics- Relativity & Gravitation

Citation Formats

Riegert, R J. Classical and quantum conformal gravity. United States: N. p., 1986. Web.
Riegert, R J. Classical and quantum conformal gravity. United States.
Riegert, R J. Wed . "Classical and quantum conformal gravity". United States.
@article{osti_6844972,
title = {Classical and quantum conformal gravity},
author = {Riegert, R J},
abstractNote = {Conformal gravity, based on the action quadratic in the Weyl conformal curvature, constitutes a scale-invariant, classically-confining, asymptotically-free theory of gravitation. This theory is examined with a view toward assessing its viability as an alternative to Einstein gravity at the fundamental level. First, by extending the manifestly-covariant, six-dimensional formalism of Dirac, it is shown that conformal gravity arises uniquely as the local gauge theory of the conformal group SU(2,2). The exact, spherically-symmetric, electrovac solutions of the classical theory are obtained. Next, it is argued that the phenomenologically-required breakdown of conformal invariance is a consequence of divergent quantum fluctuations and the resulting energy-momentum tensor trace anomaly. A non-local effective gravitational action reproducing this anomaly is constructed. Finally, the effect of asymptotic freedom and the consequential local confinement of energy-momentum is analyzed.},
doi = {},
url = {https://www.osti.gov/biblio/6844972}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1986},
month = {1}
}

Thesis/Dissertation:
Other availability
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