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Pure SU(3) lattice gauge theory using operators and states

2006/10/13 by J. B. Bronzan, Bronzan, J. B.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0610089

15 pages and 6 figures

arxiv created 2006/10/13 · arxiv updated 2009/12/01

Abstract

We study pure SU(3) gauge theory on a large lattice, using Schrodinger's equation. Our approximate solution uses a basis of roughly 1000 states. Gauge invariance is recovered when the color content of the ground state is extrapolated to zero. We are able to identify the gauge invariant excitations that remain when the extrapolation is performed. In the weak coupling limit, we obtain promising results when we compare the excitation energies (masses) to known results, which we derive. We discuss the application of our nonperturbative method to the regime where glueballs are present.

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