Investigation of spontaneous symmetry breaking from a non standard approach

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Scientific paper

10.1016/0920-5632(96)00123-5

We propose a new method for the study of the chiral properties of the ground state in Quantum Field Theories (QFT's) which is based on the computation of the probability distribution function (p.d.f.) of the chiral condensate in the chiral limit. We show how despite of the fact that Grassmann variables cannot be simulated on a computer, an analysis of spontaneous symmetry breaking without a symmetry breaking external field, which is standard in the case of spin systems, can also be done in QFT's with fermion degrees of freedom.

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