Magnetic Fields and Fractional Statistics in Boundary Conformal Field Theory

Details Magnetic Fields and Fractional Statistics in Boundary Conformal Field Theory Magnetic Fields and Fractional Statistics in Boundary Conformal Field Theory

1995-03-02

arxiv.org/abs/hep-th/9503014v2

Nucl.Phys.B443:444-464,1995

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, harvmac (minor corrections in section 5)

Scientific paper

10.1016/0550-3213(95)00174-Q

We study conformal field theories describing two massless one-dimensional fields interacting at a single spatial point. The interactions we include are periodic functions of the bosonized fields separately plus a ``magnetic'' interaction that mixes the two fields. Such models arise in open string theory and dissipative quantum mechanics and perhaps in edge state tunneling in the fractional quantized Hall effect. The partition function for such theories is a Coulomb gas with interchange phases arising from the magnetic field. These ``fractional statistics'' have a profound effect on the phase structure of the Coulomb gas. In this paper we present new exact and approximate results for this type of generalized Coulomb gas.

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