A new approach to spontaneously broken conformal symmetry

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · General Relativity and Gravitation; (USA)

DOI:https://doi.org/10.1007/BF00759076· OSTI ID:7102160

Bradfield, T ^[1]

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1. Northeastern State Univ., Tahlequah, OK (USA)

In this paper the authors present a new method for constructing theories of gravitation which exhibit spontaneously broken conformal symmetry. It does not require introducing nongeometric terms (i.e. auxiliary gauge fields or potential terms for the conformal field) into the Lagrangian. It is based on a theory which initially is locally both Lorentz invariant and Weyl gauge invariant in D dimensions. It is shown that, if the field Lagrangian contains terms quadratic in curvature in addition to the Ricci scalar, then the field equations allow both the dilation field and some connection components to have nonvanishing vacuum values. Both Lorentz and Weyl symmetries are thereby broken simultaneously.

• OSTI ID: 7102160
• Journal Information: General Relativity and Gravitation; (USA), Journal Name: General Relativity and Gravitation; (USA) Vol. 21:7; ISSN 0001-7701; ISSN GRGVA
• Country of Publication: United States
• Language: English

Related Subjects

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657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPACTIFICATION
CONFORMAL GROUPS
CONFORMAL INVARIANCE
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GRAVITATION
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
LORENTZ INVARIANCE
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
MINKOWSKI SPACE
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RENORMALIZATION
SCALAR FIELDS
SO GROUPS
SPACE
SYMMETRY BREAKING
SYMMETRY GROUPS
TENSORS
UNIFIED-FIELD THEORIES
WEYL UNIFIED THEORY