Functional formulation of Regge gravity

Journal Article · Fri Mar 14 23:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.1634· OSTI ID:6093631

Jevicki, A; Ninomiya, M

We consider the problem of quantizing gravity in a simplicial, Regge-calculus approach. Based on the idea of invariants, we derive the metric and the measure for integrating over Regge manifolds. These results are general; in two dimensions they exhibit the necessary agreement with the continuum (two-dimensional gravity and the Polyakov string model). This provides a basis for numerical Monte Carlo studies.

• Research Organization: Department of Physics, Brown University, Providence, Rhode Island 02912
• OSTI ID: 6093631
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICS
MEASURE THEORY
METRICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
REGGE CALCULUS
REGGE TRAJECTORIES
TWO-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY