Regular Article - Theoretical Physics
Nonlocal Nambu–Jona-Lasinio model and chiral chemical potential
Via Erasmo Gattamelata, 3, 00176, Rome, Italy
* e-mail: firstname.lastname@example.org
Accepted: 30 August 2018
Published online: 28 September 2018
We derive the critical temperature in a nonlocal Nambu–Jona-Lasinio model with the presence of a chiral chemical potential. The model we consider uses a form factor derived from recent studies of the gluon propagator in Yang–Mills theory and has the property to fit in excellent way the form factor arising from the instanton liquid picture for the vacuum of the theory. Nambu–Jona-Lasinio model is derived form quantum chromodynamics providing all the constants of the theory without any need for fits. We show that the critical temperature in this case always exists and increases as the square of the chiral chemical potential. The expression we obtain for the critical temperature depends on the mass gap that naturally arises from Yang–Mills theory at low-energy as also confirmed by lattice computations.
© The Author(s), 2018