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Scalar Quantum Electrodynamics on the lattice as classical statistical mechanics
Authors:Gian Fabrizio De Angelis  Diego de Falco  Francesco Guerra
Affiliation:(1) Institute of Physics, University of Salerno, Salerno, Italy;(2) Istituto di Fisica dell'Universitá, Via Vernieri 42, I-84100 Salerno, Italy
Abstract:Wilson's lattice approximation allows us to apply classical statistical mechanics ideas to the study of Scalar Quantum Electrodynamics. Our main tools are Griffiths-Kelly-Sherman inequalities, the transfer matrix formalism and exponential bounds. Our main result is the existence of the infinite volume limit for every value of the coupling parameters.
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