The Hamiltonian limit of (3+1)D SU(3) lattice gauge theory on anisotropic lattices

Details The Hamiltonian limit of (3+1)D SU(3) lattice gauge theory on anisotropic lattices The Hamiltonian limit of (3+1)D SU(3) lattice gauge theory on anisotropic lattices

2003-11-11

arxiv.org/abs/hep-lat/0311014v1

Phys.Rev.D69:074509,2004

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 11 figures

Scientific paper

10.1103/PhysRevD.69.074509

The extreme anisotropic limit of Euclidean SU(3) lattice gauge theory is examined to extract the Hamiltonian limit, using standard path integral Monte Carlo (PIMC) methods. We examine the mean plaquette and string tension and compare them to results obtained within the Hamiltonian framework of Kogut and Susskind. The results are a significant improvement upon previous Hamiltonian estimates, despite the extrapolation procedure necessary to extract observables. We conclude that the PIMC method is a reliable method of obtaining results for the Hamiltonian version of the theory. Our results also clearly demonstrate the universality between the Hamiltonian and Euclidean formulations of lattice gauge theory. It is particularly important to take into account the renormalization of both the anisotropy, and the Euclidean coupling $ \beta_E $, in obtaining these results.

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