2003/11/11 by Tim Byrnes, T. M. R. Byrnes, M. Loan +7 · 12 citations
Mathematics · Physics and Astronomy · #Euclidean geometry #Extrapolation #Gauge theory #Geometry #Hamiltonian (control theory) #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice field theory #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #hep-lat
paper · pdf · doi:10.1103/physrevd.69.074509
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 69(7) (American Physical Society) · 10 pages, 11 figures
arxiv created 2003/11/11 · openalex publication_date 2004/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \ensuremathβE, in obtaining these results.