Scalar Quantum Electrodynamics on the lattice as classical statistical mechanics |
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Authors: | Gian Fabrizio De Angelis Diego de Falco Francesco Guerra |
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Affiliation: | (1) Institute of Physics, University of Salerno, Salerno, Italy;(2) Istituto di Fisica dell'Universitá, Via Vernieri 42, I-84100 Salerno, Italy |
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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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