Monopoles and hadron spectrum in quenched QCD

Abstract

We report the preliminary results of the studies of hadron spectrum under the background of abelian and monopole gauge elds in quenched Wilson SU(3) QCD. Abelian gauge elds alone reproduce the same chiral limit as in the full case. Critical hopping parameter c and m are the same in both cases. We need more time to get a de nite result in the case of monopole background. The photon contribution do not produce any mass gap in the chiral limit ( = c 0:17). The behavior is similar to those in the free photon case for c = 0:125.

Recent results on the abelian projection of lattice gluodynamics

“…The monopole dominance for the string tension has been found in the SU (2) positive plaquette model in which Z 2 monopoles are suppressed [8], it has also been found for the SU (2) string tension at finite temperature [9] and for the string tension in the SU (3) gluodynamics [10]. The abelian and the monopole dominance for the SU (2) gluodynamics has been found in [11,12] for the Polyakov line and for the critical exponents for the Polyakov line, for the value of the quark condensate, for the topological susceptibility and also for the hadron masses in the quenched SU (3) QCD with Wilson fermions [13].…”

Abelian Projections and Monopoles

“…The monopole dominance for the string tension has been found for the SU(2) positive plaquette model in which Z 2 monopoles are suppressed [20], and also for the SU(2) string tension at finite temperature [21], and for the string tension in SU(3) gluodynamics [22]. Abelian and monopole dominance for SU(2) gluodynamics has been found in [23,24] for the Polyakov line and for critical exponents for the Polyakov line, for the value of the quark condensate, for the topological susceptibility and also for the hadron masses in quenched SU(3) QCD with Wilson fermions [25].…”

Zero-modes of the QED Neuberger Dirac operator

“…To investigate possible correlations between the existence of zero-modes and topological objects further we have, following Refs. [14][15][16], factorized our gauge configurations into monopole and photon fields. The U(1) plaquette angles θ x,µν are decomposed into the "physical" electromagnetic flux through the plaquette θx,µν and a number m x,µν of Dirac strings passing through the plaquette…”