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 SSmodel, which is an integrable twoparameter deformation of the O (4) nonlinear 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 nonlinear 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 sinhGordon 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:

 High Energy Physics  Theory
 EPrint:
 10 pages, 4 figures