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Large loops of magnetic current and confinement in four dimensional U(1) lattice gauge theory

1993/08/31 by John D. Stack, J. D. Stack, Roy J. Wensley +1 · 15 citations
Physics and Astronomy · #Color confinement #Condensed matter physics #Current (fluid) #Gauge theory #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Magnetic monopole #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Wilson loop #hep-lat

paper · pdf · doi:10.1103/physrevlett.72.21

published in Physical Review Letters 72(1), 21-24 (American Physical Society) · 15 pages (Latex file plus 3 postscript files appended), Univeristy of Illinois Preprint ILL-(TH)-93-\#15

arxiv created 1993/08/31 · openalex publication_date 1994/01/03 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the heavy quark potential from the magnetic current due to monopoles in four dimensional U(1) lattice gauge theory. The magnetic current is found from link angle configurations generated in a cosine action simulation on a 244 lattice. The magnetic current is resolved into large loops which wrap around the lattice and small loops which do not. It is shown that the long range part of the heavy quark potential, in particular the string tension, can be calculated solely from the large loops of magnetic current.

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