Bogoliubov transformations and fermion condensates in lattice field theories

Details Bogoliubov transformations and fermion condensates in lattice field theories Bogoliubov transformations and fermion condensates in lattice field theories

2008-08-07

arxiv.org/abs/0808.1110v1

Ann. Phys.324:584-599, 2009; Annals Phys.324:584-599,2009

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages

Scientific paper

10.1016/j.aop.2008.10.006

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.

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