GW fermion propagators and chiral condensate

Abstract

By exploiting the chiral symmetry, we derive analytic formulas for the massless and the massive Ginsparg-Wilson fermion propagators. Using these formulas, we derive an expression for the chiral condensate which is the order parameter for spontaneous chiral symmetry breaking in QCD. These formulas provide the proper way to compute the fermion propagators and may save a significant amount of computing time especially for large lattices in four dimensions.

7 pages, minor modifications after Eq. (22), to appear in Phys. Rev. D

References in corpus (6)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Lattice QCD without tuning, mixing and current renormalization
• Solutions of the Ginsparg-Wilson Relation
• The axial anomaly of Ginsparg-Wilson fermion
• Lattice Chirality
• Topological Phases in Neuberger-Dirac operator

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• Charm and strange quark masses and $f_{D_s}$ from overlap fermions
• Operator improvement for Ginsparg-Wilson fermions
• Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions
• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• Lattice Calculation of Pion Form Factor with Overlap Fermions
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Stochastic method with low mode substitution for nucleon isovector matrix elements
• Study of $Thet{a}^{+}(udud\bar{s})$ in lattice QCD with exact chiral symmetry
• Heavy and Light Quarks with Lattice Chiral Fermions
• Low energy effective action of domain-wall fermion and the Ginsparg-Wilson relation
• Meson Mass Decomposition from Lattice QCD
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Trace anomaly form factors from lattice QCD
• Symmetries of meson correlators in high temperature QCD with physical $(u/d,s,c)$ domain-wall quarks
• Nonperturbative renormalization of composite operators with overlap fermions
• Perturbation calculation of the axial anomaly of Ginsparg-Wilson fermion
• Nonperturbative renormalisation of composite operators with overlap quarks
• Quenched chiral logarithms in lattice QCD with exact chiral symmetry
• Distance between various discretized fermion actions
• Nucleon isovector scalar charge from overlap fermions
• Chiral fermions on the lattice and index relations
• A Linux PC cluster for lattice QCD with exact chiral symmetry
• Topologically invariant transformation for lattice fermions
• Proton momentum and angular momentum decompositions with overlap fermions
• Linking continuum and lattice quark mass functions via an effective charge