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Title: 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 X s, which are in one-to-one 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 View the MathML source(TT¯) built from the components of the energy–momentum 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 S-matrix via the CDD factor. The situation is illustrated by explicit construction of the form factors of the operators X s in sine-Gordon theory. Lastly, we also make some remarks on the problem of UV completeness of such integrable deformations.
Authors:
 [1] ;  [2]
  1. Sorbonne Univ., Paris (France)
  2. Rutgers Univ., Piscataway, NJ (United States); Institute for Information Transmission Problems, Moscow (Russia)
Publication Date:
Grant/Contract Number:
SC0010008
Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Volume: 915; Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Research Org:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1337337
Alternate Identifier(s):
OSTI ID: 1366748