Asymptotic Freedom and Euclidean Quantum Gravity

Abstract

Pure SU(2) gauge theory is the simplest asymptotically free theory in four dimensions. To investigate Euclidean quantum gravity effects in a fundamental length scenario, we simulate 4$d$ SU(2) lattice gauge theory on a dynamically coupled Regge skeleton. The fluctuations of the skeleton are governed by the standard Regge-Einstein action. From a small $2\cdot 4^3$ lattice we report exploratory numerical results, limited to a region of strong gravity where the Planck mass and hadronic masses take similar orders of magnitude. We find a range of the Planck mass where stable bulk expectation values are obtained which vary smoothly with the gauge coupling, and a remnant of the QCD deconfining phase transition is located. Note: The full ps file of this preprint is also available via anonymous ftp to ftp.scri.fsu.edu. To get the ps file, ftp to this address and use for username "anonymous" and for password your name. The file is in the directory pub/krishnan (to go to that directory type: cd pub/krishnan) and is called gravity.ps (to get it type: get gravity.ps). If you have any problems send mail to [email protected].

37 pages with 17 postscript figures included. (TeX + LaTeX) file. FSU-HEP-92-0818

References in corpus (1)

• Influence of the Measure on Simplicial Quantum Gravity in Four Dimensions

Cited by in corpus (7)

• Discrete approaches to quantum gravity in four dimensions
• The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions
• Phase Structure of SU(2) Lattice Gauge Theory with Quantum Gravity
• Regge gravity on general triangulations
• Static Quark Potentials in Quantum Gravity
• Phase diagram of Regge quantum gravity coupled to SU(2) gauge theory
• Correlation functions in lattice formulations of quantum gravity