A New Method to Measure the Chiral Condensate in Lattice QCD Using Wilson Fermions

Parity and flavor symmetry is not broken in QCD. Using this fact, we propose a new method to measure the chiral condensate in lattice QCD using Wilson fermions with an operator that breaks parity and flavor in addition to the chiral symmetry. PACS #: 12.38.-t, 11.30.Rd, 11.15.Ha. Key Words: QCD, Chiral symmetry, Wilson fermions. 1 Introduction Formal arguments in the continuum have shown that parity and flavor symmetries are not broken in QCD[1, 2]. On the other hand chiral symmetry is expected to be spontaneously broken in massless QCD with pions being the associated Goldstone bosons. A non-vanishing density of eigenvalues around zero for the massless Dirac operator is responsible for the breaking of the chiral symmetry[3]. A promising way to test the above statements in a rigorous non-perturbative setting is the lattice formulation of QCD. Attempts have been made to study these issues in lattice QCD using Wilson fermions and staggered fermions. For Wilson fermions chiral symmetry ..