Phase diagram of Regge quantum gravity coupled to SU(2) gauge theory

Abstract

We analyze Regge quantum gravity coupled to SU(2) gauge theory on $4^3\times 2$, $6^3\times 4$ and $8^3\times 4$ simplicial lattices. It turns out that the window of the well-defined phase of the gravity sector where geometrical expectation values are stable extends to negative gravitational couplings as well as to gauge couplings across the deconfinement phase transition. We study the string tension from Polyakov loops, compare with the $\beta$-function of pure gauge theory and conclude that a physical limit through scaling is possible.

RevTeX, 14 pages, 5 figures (2 eps, 3 tex), 2 tables

References in corpus (9)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• Invariant Correlations in Simplicial Gravity
• Influence of the Measure on Simplicial Quantum Gravity in Four Dimensions
• The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions
• Towards a Non-Perturbative Renormalization of Euclidean Quantum Gravity
• Phase Structure of SU(2) Lattice Gauge Theory with Quantum Gravity
• Regge gravity on general triangulations
• Asymptotic Freedom and Euclidean Quantum Gravity
• Static Quark Potentials in Quantum Gravity

Cited by in corpus (4)

• Discrete approaches to quantum gravity in four dimensions
• On the Gravitational Scaling Dimensions
• Teleparallel gravity on the lattice
• Aspects of quantum gravity