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On the chiral limit in lattice gauge theories with Wilson fermions | | A. Hoferichter
; V.K. Mitrjushkin
; M. Müller--Preussker
; | | Date: |
2 Jun 1995 | | Journal: | Z.Phys. C74 (1997) 541-548 | | Subject: | hep-lat | | Abstract: | The chiral limit $~kappa simeq kappa_c(eta)~$ 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 $kappa simeq kappa_c(eta)$. 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 $~langle psb psi
angle_{subt}~$ near $~kappa_c(eta)~$ is determined. We observe a comparatively large value of $~langle psb psi
angle_{subt} cdot Z_P^{-1}~$, which could be interpreted as a possible effect of the quenched approximation. | | Source: | arXiv, hep-lat/9506006 | | Services: | Forum | Review | PDF | Favorites | |
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