Abelian dominance of chiral symmetry breaking in lattice QCD

Journal Article · Thu Feb 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.1532· OSTI ID:278585

Lee, F X; Woloshyn, R M ^[1]; Trottier, H D ^[2]

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1. TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (CANADA)
2. Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6 (CANADA)

Calculations of the chiral condensate {l_angle}{bar {chi}}{chi}{r_angle} on the lattice using staggered fermions and the Lanczos algorithm are presented. Four gauge fields are considered: the quenched non-Abelian field, an Abelian projected field, and monopole and photon fields further decomposed from the Abelian field. Abelian projection is performed in the maximal Abelian gauge and in the Polyakov gauge. The results show that monopoles in the maximal Abelian gauge largely reproduce the chiral condensate values of the full non-Abelian theory, in both SU(2) and SU(3) color. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 278585
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 3 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
CONDENSATES
FERMIONS
MONOPOLES
PHOTONS
QUANTUM CHROMODYNAMICS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING