Effects of Fluctuations on Inhomogeneous Chiral Transitions

Abstract

We discuss the features of the order-parameter fluctuations in the normal phase near the phase boundary and their effects on the phase transition from the normal to the inhomogeneous phase with spatially modulated order parameter. Focusing on the chiral symmetry breaking, i.e., inhomogeneous chiral transition, we consider the fluctuation of the chiral pair consisting of quark-antiquark or quarkhole pair within the two-flavor Nambu-Jona-Lasinio model in the chiral limit. We clarify the roles of quantum and thermal fluctuations and also argue that anomalies for thermodynamic quantities in the inhomogeneous chiral transition should lead to phenomenological implications.

Inhomogeneous Chiral Phase in Quark Matter

“…Finally, we'd like to emphasize a similarity of iCP with other inhomogeneous phase transitions; common features may be hidden in the FFLO state of superconductivity [30].…”