Nambu–Jona-Lasinio model in a magnetic field with variable direction

Publisher Website
Google Scholar
Abstract
Homogeneous magnetic fields are known to act as strong catalysts of chiral symmetry breaking. The same trend is observed for a large class of magnetic fields with constant direction. This sort of stability with respect to the external field profile suggests that dynamical mass generation can really occur in some actual experimental conditions. Obviously, in order to ascertain the reliability of such a scenario, one should go beyond the simple background configurations that have been discussed up to now in the literature. Motivated by this consideration, we study the Nambu–Jona-Lasinio model minimally coupled to a background magnetic field with variable direction. For the chosen configuration we observe no trend to favor the massive phase. With respect to the zero-field case a larger coupling constant is required to break the chiral symmetry of the model.