Virial coefficients from (2+1)-dimensional QED effective actions at finite temperature and density

From spinor and scalar (2 + 1)-dimensional QED effective actions at finite temperature and density in a constant magnetic field background, we calculate the corresponding virial coefficients for particles in the lowest Landau level. These coefficients depend on a parameter θ related to the time-component of the gauge field, which plays an essential role for large gauge invariance. The variation of the parameter θ might lead to an interpolation between fermionic and bosonic virial coefficients, although these coefficients are singular for θ = π/2.