Pressure in Chern-Simons field theory to three-loop order

We calculate perturbatively the pressure of a dilute gas of anyons through second order in the anyon coupling constant, as described by Chern-Simons field theory. Near Bose statistics, the divergences in the perturbative expansion are exactly cancelled by a two-body δ-function potential which is not required near Fermi statistics. To the order considered, we find no need for a non-hermitian hamiltonian.

I thank M.A. Gon~i and J.L. Man~es for helpful comments. Financial support under contract AEN90-0330 andUPV 172.310-E035/90 is acknowledged.