On space of integrable quantum field theories

Here, 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 Xs, which are in one-to-one correspondence with the local integrals of motion; moreover, the scalars Xs are built from the components of the associated conserved currents in a universal way. The first of these scalars, X1, coincides with the composite field View the MathML source(TT¯) built from the components of the energy–momentum tensor. The…

• UD
  U.S. Department of Energy

  Award: SC0010008
• WI
  Weizmann Institute of Science