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arxiv: hep-lat/9412037 · v1 · submitted 1994-12-07 · ✦ hep-lat

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SU(2) potentials in quantum gravity

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classification ✦ hep-lat
keywords gravityphasequantumgaugepotentialpotentialstimesbehavior
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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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