We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions. We relate these equations to the saddle point approximation of a recent bosonization method and to the Foldy-Wouthuysen transformations which separate positive from negative energy states in the Dirac Hamiltonian.
Bogoliubov transformations and fermion condensates in lattice field theories / S. Caracciolo, F. Palumbo, G. Viola. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 324:3(2009), pp. 589-599.
Bogoliubov transformations and fermion condensates in lattice field theories
S. CaraccioloPrimo
;
2009
Abstract
We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions. We relate these equations to the saddle point approximation of a recent bosonization method and to the Foldy-Wouthuysen transformations which separate positive from negative energy states in the Dirac Hamiltonian.Pubblicazioni consigliate
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