Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-10-06
PoS LAT2009:068,2009
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, no figures, to be published in PoS(Lattice'09)
Scientific paper
The vacuum structure of QCD with two degenerated flavours of Wilson fermions is discussed by means of the p.d.f. (probability distribution function) formalism. Under certain assumptions, either new phases related to Aoki's appear, characterized by a non-vanishing expectation value of the condensate $i\bar\psi_u\gamma_5\psi_u + i\bar\psi_d\gamma_5\psi_d$, enriching the standard picture of the QCD vacuum structure with Wilson fermions; or the eigenvalues of the Dirac-Wilson operator must comply with a non-trivial, infinite set of sum rules, enforcing the currently accepted structure of the Aoki vacuum. The same scenario is analyzed using the Ginsparg-Wilson regularization. In this case, the absence of any parity and/or flavour breaking phase is proved for a non-zero value of the fermion mass.
Azcoiti Vicente
Carlo Giuseppe Di
Follana Eduardo
Vaquero Alejandro
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