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

The behaviour of the topological susceptibility χ 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 χ   drops abruptly at a critical chemical potential μcμc, 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 μcμc. At a value μsμs of the chemical potential, called saturation point, which in our case satisfies μs>μcμs>μc, Pauli blocking supervenes and consequently the theory becomes quenched.