We consider the Dirac hamiltonian on a one-dimensional space lattice. We show that it can be written as the generator of a markovian semigroup, plus a term that, even in the presence of Yukawa or Thirring interactions, can be dealt with by means of a simple Feynman-Kac formula.
Probabilistic ideas for two dimensional interacting Fermi fields on a lattice
DE MARTINO, Salvatore;DE SIENA, Silvio
1982-01-01
Abstract
We consider the Dirac hamiltonian on a one-dimensional space lattice. We show that it can be written as the generator of a markovian semigroup, plus a term that, even in the presence of Yukawa or Thirring interactions, can be dealt with by means of a simple Feynman-Kac formula.File in questo prodotto:
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