Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-08-30
Phys.Rev. D65 (2002) 065025
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 5 figures
Scientific paper
10.1103/PhysRevD.65.065025
In order to estimate the effect of dynamical gluons to chiral condensate, the gap equation of SU(2) gauged Nambu--Jona-Lasinio model, under a constant background magnetic field, is investigated up to the two-loop order in 2+1 and 3+1 dimensions. We set up a general formulation allowing both cases of electric as well as magnetic background field. We rely on the proper time method to maintain gauge invariance. In 3+1 dimensions chiral symmetry breaking ($\chi$SB) is enhanced by gluons even in zero background magnetic field and becomes much striking as the background field grows larger. In 2+1 dimensions gluons also enhance $\chi$SB but whose dependence on the background field is not simple: dynamical mass is not a monotone function of background field for a fixed four-fermi coupling.
Ishi-i Masaru
Kashiwa Taro
Tanimura Naoki
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