On space of integrable quantum field theories
Abstract
We study deformations of 2D Integrable Quantum Field Theories (IQFT) which preserve integrability (the existence of infinitely many local integrals of motion). The IQFT are understood as "effective field theories", with finite ultraviolet cutoff. We show that for any such IQFT there are infinitely many integrable deformations generated by scalar local fields X_{s}, which are in onetoone correspondence with the local integrals of motion; moreover, the scalars X_{s} are built from the components of the associated conserved currents in a universal way. The first of these scalars, X_{1}, coincides with the composite field (T T bar) built from the components of the energymomentum tensor. The deformations of quantum field theories generated by X_{1} are "solvable" in a certain sense, even if the original theory is not integrable. In a massive IQFT the deformations X_{s} are identified with the deformations of the corresponding factorizable Smatrix via the CDD factor. The situation is illustrated by explicit construction of the form factors of the operators X_{s} in sineGordon theory. We also make some remarks on the problem of UV completeness of such integrable deformations.
 Publication:

Nuclear Physics B
 Pub Date:
 February 2017
 DOI:
 10.1016/j.nuclphysb.2016.12.014
 arXiv:
 arXiv:1608.05499
 Bibcode:
 2017NuPhB.915..363S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 25 pages