1998/04/02 by José Gaite · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Black Holes and Theoretical Physics #Central charge #Conformal field theory #Conformal map #Factorization #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum mechanics #Quasiparticle #Quiver #Thermodynamic limit #cond-mat #hep-th
paper · pdf · doi:10.1016/s0550-3213(98)00340-x
published as Nucl.Phys.B525:627-640,1998 · 14 pages, LaTeX, submitted to Nucl. Phys. B
arxiv created 1998/04/02 · openalex publication_date 1998/08/01 · arxiv updated 2016/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the thermodynamic Bethe ansatz as a way to factorize the partition function of a 2d field theory, in particular, a conformal field theory and we compare it with another approach to factorization due to K. Schoutens which consists of diagonalizing matrix recursion relations between the partition functions at consecutive levels. We prove that both are equivalent, taking as examples the SU(2) spinons and the 3-state Potts model. In the latter case we see that there are two different thermodynamic Bethe ansatz equation systems with the same physical content, of which the second is new and corresponds to a one-quasiparticle representation, as opposed to the usual two-quasiparticle representation. This new thermodynamic Bethe ansatz system leads to a new dilogarithmic formula for the central charge of that model.