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

Abstract

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.

10 pages, 11 figures

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Cited by in corpus (8)

• Harmonic Oscillator Prepotentials in SU(2) Lattice Gauge Theory
• Monte Carlo study of glueball masses in the Hamiltonian limit of SU(3) lattice gauge theory
• Lattice Renormalization of Quantum Simulations
• The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory
• Gauge Theory Couplings on Anisotropic Lattices
• Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories
• Hamiltonian Study of Improved $U(1$ Lattice Gauge Theory in Three Dimensions
• Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory