Monopole Dominance for Nonperturbative QCD

Abstract

Monopole dominance for the nonperturbative features in QCD is studied both in the continuum and the lattice gauge theories. First, we study the dynamical chiral-symmetry breaking (D$\chi$SB) in the dual Higgs theory using the effective potential formalism. We find that the main driving force for D$\chi$SB is brought from the confinement part in the nonperturbative gluon propagator rather than the short-range part, which means monopole dominance for D$\chi$SB. Second, the correlation between instantons and QCD-monopoles is studied. In the Polyakov-like gauge, where $A_4(x)$ is diagonalized, the QCD-monopole trajectory penetrates the center of each instanton, and becomes complicated in the multi-instanton system. Finally, using the SU(2) lattice gauge theory with $16^4$ and $16^3\times 4$, the instanton number is measured in the singular (monopole-dominating) and regular (photon-dominating) sectors, respectively. Instantons and anti-instantons only exist in the monopole sector both in the maximally abelian gauge and in the Polyakov gauge, which means monopole dominance for the topological charge.

Talk presented by H. Suganuma at the Joint Japan-Australia Workshop on "Quarks, Hadrons and Nuclei'', 15 - 24 Nov. 1995, in Adelaide, Australia, 10 pages, Plain Latex, ( 6 figures - available on request from [email protected] )

Cited by in corpus (8)

• Non-Perturbative Dynamics in Supersymmetric Gauge Theories
• Abelian Monopoles in SU(2) Lattice Gauge Theory as Physical Objects
• Topological Aspect of Abelian Projected SU(2) Lattice Gauge Theory
• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge
• Lattice Study of $U_A(1)$ Anomaly: The Role of QCD-Monopoles
• Abelian Projection on the Torus for general Gauge Groups
• Correlation between Confinement and Chiral-Symmetry Breaking in the Dual Higgs Theory
• Abelian monopoles in lattice gluodynamics as physical objects