Pressure in Chern-Simons Field Theory to Three-Loop Order

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 $\delta$-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)

10 pages, PlainTeX with macro manumac (included), report EHU-FT-92/3

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• Magnetic Moment and Perturbation Theory with Singular Magnetic Fields
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• Hall Conductivity for Two Dimensional Magnetic Systems
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• Scale anomalies in non-relativistic field theories in 2+1 dimensions
• Thermodynamics of Relativistic Fermions with Chern-Simons Coupling
• Parity Violation in Aharonov-Bohm Systems: The Spontaneous Hall Effect