BCS Diquark Condensation in the 3+1d Lattice NJL Model

TL;DR

This paper provides preliminary lattice evidence for BCS diquark condensation in a 3+1D NJL model at high chemical potential, indicating a phase transition to a superfluid state.

Contribution

It introduces a lattice approach with a diquark source to measure diquark observables, supporting the existence of a BCS phase at high chemical potential.

Findings

Diquark condensate observed at high mu

Susceptibilities increase with diquark source j

Supports BCS phase presence in the model

Abstract

We present preliminary evidence of BCS diquark condensation in the 3+1 dimensional Nambu-Jona-Lasinio (NJL) model at non-zero chemical potential (mu) on the lattice. Large N results are used to match the model's parameters to low energy, zero density phenomenology. A diquark source j is added in a partially quenched approximation to enable the measurement of lattice diquark observables. In particular measurements are made of the diquark condensate and susceptibilities as functions of j which support the existence of a BCS phase at high mu.