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.
- Publication:
-
Nuclear Physics B
- Pub Date:
- December 2014
- DOI:
- 10.1016/j.nuclphysb.2014.11.005
- arXiv:
- arXiv:1409.0449
- Bibcode:
- 2014NuPhB.889..817B
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 10 pages, 4 figures