Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-10-03
Phys.Rev. D57 (1998) 1605-1614
Physics
High Energy Physics
High Energy Physics - Phenomenology
13pages,LaTeX,8figures
Scientific paper
10.1103/PhysRevD.57.1605
We study the correlation between confinement and dynamical chiral-symmetry breaking (D$\chi$SB) in the dual Ginzburg-Landau (DGL) theory using the effective potential formalism. The DGL theory is an infrared effective theory based on the dual Higgs mechanism, and provides the nonperturbative gluon propagator, which leads to the linear quark potential. The screening effect for the confining potential can be obtained by introducing the infrared cutoff corresponding to the hadron size. We formulate the effective potential for D$\chi$SB in the DGL theory, and find the vacuum instability against quark condensation. To extract confinement effect, we separate the effective potential into the confinement part and others by dividing the confinement term from other terms in the gluon propagator in the DGL theory. The confinement part provides the dominant contribution to D$\chi$SB, which is regarded as monopole dominance for D$\chi$SB. The relevant energy for D$\chi$SB is found to be the infrared region below 1GeV. Monopole dominance for the DGL propagator is also found in the intermediate region, 0.2fm $\simle r \simle$ 1fm.
Suganuma Hideo
Toki Hiroshi
Umisedo Sei
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