Effect of dynamical SU(2) gluons to the gap equation of the Nambu-Jona-Lasinio model in a constant background non-Abelian magnetic field

摘要: In order to estimate the effect of dynamical gluons on chiral condensates, gap equation $\mathrm{SU}(2)$ gauged Nambu\char21{}Jona-Lasinio model, under a constant background non-Abelian magnetic field, is investigated up two-loop in $2+1$ and $3+1$ dimensions. We set general formulation allowing both cases electric as well fields. employ proper time method which gives gauge-invariant fermionic functional determinant. dimensions symmetry breaking $(\ensuremath{\chi}\mathrm{SB})$ enhanced by even zero field becomes more striking grows larger. also enhance $\ensuremath{\chi}\mathrm{SB}$ but dependence not simple; mass monotone function for fixed four-Fermi coupling.