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arXiv · hep-lat/9801017

Renormalization of strongly coupled U(1) lattice gauge theories

J. Jersak
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Abstract

Recent numerical studies of the 4D pure compact U(1) lattice gauge theory, I have participated in, are reviewed. We look for a possibility to construct an interesting nonperturbatively renormalizable continuum theory at the phase transition between the confinement and Coulomb phases. First I describe the numerical evidence, obtained from calculation of bulk observables on spherical lattices, that the theory has a non-Gaussian fixed point. Further the gauge-ball spectrum in the confinement phase is presented and its universality confirmed. The unexpected result is that, in addition to massive states, the theory contains a very light, possibly massless scalar gauge ball. I also summarize results of studies of the compact U(1) lattice theory with fermion and scalar matter fields and point out that at strong coupling it represents a model of dynamical fermion mass generation.

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J. Jersak. 1998-01-16. Renormalization of strongly coupled U(1) lattice gauge theories. https://arxiv.org/abs/hep-lat/9801017

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