On the chiral limit in lattice gauge theories with Wilson fermions

dc.creatorHoferichter, A.
dc.creatorMitrjushkin, V. K.
dc.creatorMüller--Preussker, M.
dc.date1995-06-02
dc.date1996-07-05
dc.date.accessioned2026-07-07T08:59:42Z
dc.date.available2026-07-07T08:59:42Z
dc.descriptionThe chiral limit $~κ\simeq κ_c(β)~$ 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 $~\mpr_π~$ for the calculation of the pseudoscalar mass $~m_π~$ is proposed which does not suffer from 'divergent' contributions at $κ\simeq κ_c(β)$. 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 $~\langle \psb ψ\rangle_{subt}~$ near $~κ_c(β)~$ is determined. We observe a comparatively large value of $~\langle \psb ψ\rangle_{subt} \cdot Z_P^{-1}~$, which could be interpreted as a possible effect of the quenched approximation.
dc.descriptionEXTENDED version. To be published in Z.f.Physik C
dc.identifierhttps://arxiv.org/abs/hep-lat/9506006
dc.identifierhttp://arxiv.org/abs/hep-lat/9506006
dc.identifierZ.Phys. C74 (1997) 541-548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147809
dc.subjectHigh Energy Physics - Lattice
dc.titleOn the chiral limit in lattice gauge theories with Wilson fermions
dc.typetext

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