Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-06-02
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.
Hoferichter A.
Müller--Preussker M.
~Mitrjushkin V. K.
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