SU(2) potentials in quantum gravity

Details SU(2) potentials in quantum gravity SU(2) potentials in quantum gravity

1994-12-07

arxiv.org/abs/hep-lat/9412037v1

Nucl.Phys.Proc.Suppl. 42 (1995) 707-709

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, contribution to Lattice 94 conference, uuencoded compressed postscript file

Scientific paper

10.1016/0920-5632(95)00357-F

We present investigations of the potential between static charges from a simulation of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. 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 $R$. 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.

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