Winding vacuum energies in a deformed O(4) sigma model

Abstract

We consider the problem of calculating the Casimir energies in the winding sectors of Fateev's SS-model, which is an integrable two-parameter deformation of the O(4) non-linear sigma model in two dimensions. This problem lies beyond the scope of all traditional methods of integrable quantum field theory including the thermodynamic Bethe ansatz and non-linear integral equations. Here we propose a solution based on a remarkable correspondence between classical and quantum integrable systems and express the winding energies in terms of certain solutions of the classical sinh-Gordon equation.

10 pages, 4 figures

References in corpus (2)

• On deformations of AdS_n x S^n supercosets
• Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

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