Form factors of descendant operators: resonance identities in the sinhGordon model
Abstract
We study the space of local operators in the sinhGordon model in the framework of the bootstrap form factor approach. Our final goal is to identify the operators obtained by solving bootstrap equations with those defined in terms of the Lagrangian field. Here we try to identify operators at some very particular points, where the phenomenon of operator resonance takes place. The operator resonance phenomenon being perturbative, nevertheless, results in exact identities between some local operators. By applying an algebraic approach developed earlier for form factors we derive an infinite set of identities between particular descendant and exponential operators in the sinhGordon theory, which generalize the quantum equation of motion. We identify the corresponding descendant operators by comparing them with the result of perturbation theory.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2014
 DOI:
 10.1007/JHEP12(2014)112
 arXiv:
 arXiv:1411.1374
 Bibcode:
 2014JHEP...12..112L
 Keywords:

 Integrable Field Theories;
 Exact SMatrix;
 Quantum Groups;
 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 17 pages