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11 April 2021
  » arxiv » hep-lat/9209023

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Modified $U(1)$ lattice gauge theory: towards realistic lattice QED
V.G. Bornyakov ; V.K. Mitrjushkin ; M. Müller-Preussker ;
Date 23 Sep 1992
Subject hep-lat
AbstractWe study properties of the compact $~4D~$ $U(1)$ lattice gauge theory with monopoles {it removed}. Employing Monte Carlo simulations we calculate correlators of scalar, vector and tensor operators at zero and nonzero momenta $~vec{p}~$. We confirm that the theory without monopoles has no phase transition, at least, in the interval $~0 < eta leq 2~$. There the photon becomes massless and fits the lattice free field theory dispersion relation very well. The energies of the $~0^{++}~$, $~1^{+-}~$ and $~2^{++}~$ states show a rather weak dependence on the coupling in the interval of $~eta~$ investigated, and their ratios are practically constant. We show also a further modification of the theory suppressing the negative plaquettes to improve drastically the overlap with the lowest states (at least, for $~J=1$).
Source arXiv, hep-lat/9209023
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