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Path Integral Monte Carlo Approach to the U(1) Lattice Gauge Theory in (2+1) Dimensions
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Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The Euclidean string tension and mass gap decrease exponentially at weakcoupling in excellent agreement with the predictions of Polyakov and G{\" o}pfert and Mack, but their magnitudes are five times bigger than predicted. Extrapolations are made to the extreme anisotropic or Hamiltonian limit, and comparisons are made with previous estimates obtained in the Hamiltonian formulation.
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Cited by 2 Pith papers
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A Finite-Volume Scheme for the Continuum Extrapolation of Lattice Step-Scaling in (2+1)D Hamiltonian U(1) Gauge Theory
Introduces and tests a finite-volume scheme enabling stable continuum extrapolation of the step-scaling function in (2+1)D Hamiltonian U(1) gauge theory via matrix product states.
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On the equation of state of U(1) lattice gauge theory in three dimensions
The equation of state of 3D U(1) lattice gauge theory is consistent with a single massive state below T_c and a free photon gas above T_c, with no Hagedorn tower of states.
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