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We discuss bosonization in three dimensions of an SU (N ) massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to SU (N ) Yang-Mills-Chern-Simons gauge theory. For free massive fermions bosonization leads, at low energies, to the pure SU (N ) (level k = 1) Chern-Simons theory.

We show that when the Abelian Chern-Simons theory coupled to matter fields is quantized in a vacuum with non vanishing magnetic flux (or electric charge), the requirement of gauge invariance at finite temperature leads to the quantization of the Chern-Simons coefficient and its quantum corrections, in a manner similar to the non-Abelian

We propose a new method to study lattice field theories at very high temperatures which overcomes the limitations of conventional schemes. The method is presented using a Q4 theory in 3 + 1 dimensions, evaluated to one loop order in a renormalization group improved perturbation theory.

We study the thermodynamics of the relativistic Quantum Field Theory of massive fermions in three space-time dimensions coupled to an Abelian Maxwell-Chern-Simons gauge field. We evaluate the specific heat at finite temperature and density and find that the variation with the statistical angle is consistent with the non-relativistic ideas on generalized statistics.

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