On the chiral limit in lattice gauge theories with Wilson fermions

Details On the chiral limit in lattice gauge theories with Wilson fermions On the chiral limit in lattice gauge theories with Wilson fermions

1995-06-02

arxiv.org/abs/hep-lat/9506006v2

Z.Phys. C74 (1997) 541-548

Physics

High Energy Physics

High Energy Physics - Lattice

EXTENDED version. To be published in Z.f.Physik C

Scientific paper

The chiral limit $~\kappa \simeq \kappa_c(\beta)~$ in lattice gauge theories with Wilson fermions and problems related to near--to--zero ('exceptional') eigenvalues of the fermionic matrix are studied. For this purpose we employ compact lattice QED in the confinement phase. A new estimator $~\mpr_{\pi}~$ for the calculation of the pseudoscalar mass $~m_{\pi}~$ is proposed which does not suffer from 'divergent' contributions at $\kappa \simeq \kappa_c(\beta)$. We conclude that the main contribution to the pion mass comes from larger modes, and 'exceptional' eigenvalues play {\it no} physical role. The behaviour of the subtracted chiral condensate $~\langle \psb \psi \rangle_{subt}~$ near $~\kappa_c(\beta)~$ is determined. We observe a comparatively large value of $~\langle \psb \psi \rangle_{subt} \cdot Z_P^{-1}~$, which could be interpreted as a possible effect of the quenched approximation.

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