1995/03/02 by C. G. Callan, Curtis G. Callan, Igor R. Klebanov +5 · 1 voice · 31 citations
Mathematics · Physics and Astronomy · #Boundary conformal field theory #Boundary value problem #Conformal field theory #Conformal map #Coulomb #Dissipative system #Electron #Magnetic field #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Neumann boundary condition #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Theoretical and Computational Physics #cond-mat #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00174-q
published in Nuclear Physics B 443(3), 444-464 (Elsevier BV) · 24 pages, harvmac (minor corrections in section 5)
arxiv published 1995/03/02 · arxiv created 1995/03/21 · arxiv updated 1995/03/21 · openalex publication_date 1995/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.