Abelian Dominance in Chiral Symmetry Breaking

Details Abelian Dominance in Chiral Symmetry Breaking Abelian Dominance in Chiral Symmetry Breaking

1995-07-26

arxiv.org/abs/hep-lat/9507022v1

Nucl.Phys.Proc.Suppl. 47 (1996) 561-564

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages in Latex with 4 embedded Postscript figures, uses espcrc2.sty, psfig.sty. All are uuencoded, gzipped in a self-extract

Scientific paper

10.1016/0920-5632(96)00122-3

Calculations of the chiral condensate $\langle \bar{\psi} \psi \rangle$ on the lattice using staggered fermions and the Lanczos algorithm are presented. Three gauge fields are considered: the quenched non-Abelian field, the Abelian field projected in the maximal Abelian gauge, and the monopole field further decomposed from the Abelian field. The results show that the Abelian monopoles largely reproduce the chiral condensate values of the full non-Abelian theory, both in SU(2) and in SU(3).

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