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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De Angelis, G.F., de Falco, D. & Guerra, F. Scalar Quantum Electrodynamics on the lattice as classical statistical mechanics. Commun.Math. Phys. 57, 201–212 (1977). https://doi.org/10.1007/BF01614162
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DOI: https://doi.org/10.1007/BF01614162