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Title:
Primus inter pares: Integrable Field Theories Among Common Ones
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Abstract:
Integrable Quantum Filed Theories (IQFT) fill a subspace in the space of generic QFT. The tangent to this subspace is of course the collection of local operators which, when taken as infinitesimal perturbations, preserve integrability (the IQFT analog to the space of exactly marginal operators in CFT). We show that in 2D any IQFT has infinitely many such "integrable" perturbations which are in one-to one correspondence with local and semi-local integrals of motion, and moreover admit explicit construction in terms of the associated currents. In special case (sine-Gordon model) interpretation in terms of form-factor bootstrap can be obtained. Based on joint work with Fedor Smirnov.
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