2003/06/30 by S. L. Lukyanov, Sergei L. Lukyanov, A. B. Zamolodchikov +1 · 1 citation
Mathematics · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1742-5468/2004/05/p05003
published as J.Stat.Mech.0405:P05003,2004 · 20 pages, minor changes
arxiv created 2003/12/23 · openalex publication_date 2004/05/20 · arxiv updated 2011/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study a model of 2D QFT with boundary interaction, in which a two-component massless Bose field is constrained to a circle at the boundary. We argue that this model is integrable at two values of the topological angle, θ = 0 and π. For θ = 0 we propose an exact partition function in terms of solutions of an ordinary linear differential equation. The circular brane model is equivalent to the model of quantum Brownian dynamics commonly used in describing the Coulomb charging in quantum dots, in the limit of small dimensionless resistance g 0 of the tunnelling contact. Our proposal translates to a partition function of this model at integer charge.