Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz

Ivan Kostov (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the sake of simplicity we limit ourselves to scattering matrices for a single neutral particle and no bound state poles, such as the sinh-Gordon one. On the other hand, in view of applications to AdS/CFT, we do not assume that the scattering matrix is of difference type. The effective QFT involves both bosonic and fermionic fields and possesses a symmetry which makes it one-loop exact. The corresponding path integral localises to a critical point determined by the TBA equation.

Mots clés: Bethe Ansatz; Integrable Field Theories; Topological Field Theories; Bethe ansatz: thermodynamical; bound state: pole; field theory: conformal; S-matrix; AdS/CFT correspondence; critical phenomena; neutral particle; path integral; scattering; dimension: 2

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique Générale [physics.gen-ph]

Ivan Kostov. Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz. Journal of High Energy Physics, 2020, 02, pp.043. ⟨10.1007/JHEP02(2020)043⟩. ⟨hal-02392888⟩