Behaviour of the topological susceptibility in two colour QCD across the finite density transition

TL;DR

This paper investigates how the topological susceptibility in two-colour QCD with eight flavors changes across the finite density transition, revealing an abrupt drop at a critical chemical potential and the onset of quenching due to Pauli blocking.

Contribution

It provides the first lattice study of topological susceptibility behavior across the finite density transition in two-colour QCD with multiple flavors.

Findings

Topological susceptibility drops abruptly at the critical chemical potential .

Polyakov loop and chiral condensate transition coincide at .

At saturation point , the theory becomes quenched due to Pauli blocking.

Abstract

The behaviour of the topological susceptibility \chi in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of \chi drops abruptly at a critical chemical potential \mu_c, much as it happens at the finite temperature and zero density transition. The Polyakov loop and the chiral condensate undergo their transitions at the same critical value \mu_c. At a value \mu_s of the chemical potential, called saturation point, which in our case satisfies \mu_s > \mu_c, Pauli blocking supervenes and consequently the theory becomes quenched.