Pressure in Chern-Simons Field Theory to Three-Loop Order
M. A. Valle Basagoiti
Abstract
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. (This paper precedes the article ''Three loop calculation of the full anyonic partition function'', by R. Emparan and M. Valle Basagoiti, hep-th/9304103)
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