Static Quark Potentials in Quantum Gravity

Abstract

We present potentials between static charges from simulations of quantum gravity coupled to an SU(2) gauge field on $6^3\times 4$ and $8^3\times 4$ simplicial lattices. The action consists of the gravitational term given by Regge's discrete version of the Euclidean Einstein action and a gauge term given by the Wilson action, with coupling constants $m_p^2$ and $\beta$ respectively. In the well-defined phase of the gravity sector where geometrical expectation values are stable, we study the correlations of Polyakov loops and extract the corresponding potentials between a source and sink separated by a distance $R$. We compare potentials on a flat simplicial lattice with those on a fluctuating Regge skeleton. In the confined phase, the potential has a linear form while in the deconfined phase, a screened Coulombic behavior is found. Our results indicate that quantum gravitational effects do not destroy confinement due to non-abelian gauge fields.

8 pages, to be published in Phys. Lett. B, uuencoded compressed postscript file.

References in corpus (8)

• Quantum gravity and minimum length
• 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
• Phase Structure of SU(2) Lattice Gauge Theory with Quantum Gravity
• Regge gravity on general triangulations
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Cited by in corpus (6)

• Discrete approaches to quantum gravity in four dimensions
• On the Measure in Simplicial Gravity
• On the Gravitational Scaling Dimensions
• Phase diagram of Regge quantum gravity coupled to SU(2) gauge theory
• Lattice Quantum Gravity: Review and Recent Developments
• Z_2-Regge versus Standard Regge Calculus in two dimensions