On thermodynamic approaches to conformal field theory

Details On thermodynamic approaches to conformal field theory On thermodynamic approaches to conformal field theory

1998-04-02

arxiv.org/abs/hep-th/9804025v1

Nucl.Phys.B525:627-640,1998

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, submitted to Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(98)00340-X

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.

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