Effects of the Chemical Potential in two-dimensional Quantum Field Theories

In this talk we study the effects of a nonzero chemical potential in (1+1) dimensions quantum field models at finite temperature. We start by considering massless fermions in an abelian gauge field background and calculate the n-point amplitudes using the real time formalism. Our calculation shows that the chiral anomaly is unaffected by the presence of a chemical potential at finite temperature. We also find that retarded amplitudes vanish. We then consider the imaginary time formalism and find that the two- and three-point functions vanish, this result being consistent with the real time calculations.