Lattice gauge gravity

Journal Article · Thu Feb 14 23:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1150· OSTI ID:5834972

Kawamoto, N ^[1]; Nielsen, H B ^[2]

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1. Department of Physics, Kyoto University, Kyoto 606, Japan (JP)
2. Niels Bohr Institute, Blegdamsvej 17, Copenhagen O (Denmark)

We propose a lattice gravity action based on the gauge-theory point of view. We avoid a problem, the action potentially going to infinity by taking the link length to a constant {ital a} (the lattice constant). By fixing the local Lorentz gauge freedom, we obtain a gauge-fixed version of the {ital d}-dimensional action as a sum of {ital a}{sup {ital d}{minus}2}sin{delta} ({delta}=deficit angle) which is a compactified version of Regge calculus. The fermion gravity coupling term can be constructed in a similar way. We point out the possibility that this lattice gravity action approaches the Einstein action in the long-range limit if the action has an ultraviolet fixed point.

• OSTI ID: 5834972
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LORENTZ INVARIANCE
QUANTUM FIELD THEORY
REGGE CALCULUS
RENORMALIZATION
ULTRAVIOLET DIVERGENCES