On the chiral limit in lattice gauge theories with Wilson fermions

被引：7
作者：
Hoferichter, A [1 ]
Mitrjushkin, VK [1 ]
MullerPreussker, M [1 ]
机构：
[1] JOINT INST NUCL RES, DUBNA, RUSSIA
来源：
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1997年 / 74卷 / 03期
关键词：
D O I：
10.1007/s002880050417
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The chiral limit kappa similar or equal to 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 <(m)over tilde(pi)>, for the calculation of the pseudoscalar mass m(pi) is proposed which does not suffer from 'divergent' contributions at kappa similar or equal to kappa(c)(beta). We conclude that the main contribution to the pion mass comes from larger modes, and 'exceptional' eigenvalues play no physical role. The behaviour of the subtracted chiral condensate [<(psi)over bar psi>](subt) near kappa(c)(beta) is determined. We observe a comparatively large value of <(psi)over bar psi>(subt).Z(P)(-1), which could be interpreted as a possible effect of the quenched approximation.
引用
收藏
页码：541 / 548
页数：8
相关论文
共 27 条
  • [11] CONDITIONING TECHNIQUES FOR DYNAMIC FERMIONS
    DEGRAND, TA
    ROSSI, P
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 1990, 60 (02) : 211 - 214
  • [12] A CONDITIONING TECHNIQUE FOR MATRIX-INVERSION FOR WILSON FERMIONS
    DEGRAND, TA
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 1988, 52 (01) : 161 - 164
  • [13] ENGELI M, 1959, MITTEILUNGEN I ANGEW, V8, P24
  • [14] CHIRAL LIMIT OF QCD
    GUPTA, R
    [J]. NUCLEAR PHYSICS B, 1995, : 85 - 95
  • [15] METHODS OF CONJUGATE GRADIENTS FOR SOLVING LINEAR SYSTEMS
    HESTENES, MR
    STIEFEL, E
    [J]. JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1952, 49 (06): : 409 - 436
  • [16] COMPACT LATTICE QED WITH WILSON FERMIONS
    HOFERICHTER, A
    MITRJUSHKIN, VK
    MULLERPREUSSKER, M
    NEUHAUS, T
    STUBEN, H
    [J]. NUCLEAR PHYSICS B, 1995, 434 (1-2) : 358 - 380
  • [17] PHASE-STRUCTURE AND CHIRAL LIMIT OF COMPACT LATTICE QED WITH WILSON FERMIONS
    HOFERICHTER, A
    MITRJUSHKIN, VK
    MULLERPREUSSKER, M
    NEUHAUS, T
    [J]. NUCLEAR PHYSICS B, 1994, : 537 - 539
  • [18] U(1) PROBLEM AND TOPOLOGICAL EXCITATIONS ON A LATTICE
    ITOH, S
    IWASAKI, Y
    YOSHIE, T
    [J]. PHYSICAL REVIEW D, 1987, 36 (02): : 527 - 545
  • [19] KAWAMOTO N, 1981, NUCL PHYS B, V190, P617, DOI 10.1016/0550-3213(81)90450-8
  • [20] EFFECTIVE LAGRANGIAN AND DYNAMICAL SYMMETRY-BREAKING IN STRONGLY COUPLED LATTICE QCD
    KAWAMOTO, N
    SMIT, J
    [J]. NUCLEAR PHYSICS B, 1981, 192 (01) : 100 - 124
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