Communications in Mathematical Physics

, Volume 57, Issue 3, pp 201–212 | Cite as

Scalar Quantum Electrodynamics on the lattice as classical statistical mechanics

  • Gian Fabrizio De Angelis
  • Diego de Falco
  • Francesco Guerra


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Matrix Formalism 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Gian Fabrizio De Angelis
    • 1
  • Diego de Falco
    • 1
  • Francesco Guerra
    • 1
  1. 1.Institute of PhysicsUniversity of SalernoSalernoItaly

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