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Advanced Series in Mathematical Physics - Vol. 14
FORM FACTORS IN COMPLETELY INTEGRABLE MODELS OF QUANTUM FIELD THEORY
by F A Smirnov (Steklov Mathematical Institute)
The monograph summarizes recent achievements in the calculation of matrix elements of local operators (form factors) for completely integrable models. Particularly, it deals with sine-Gordon, chiral Gross-Neven and O(3) nonlinear s models. General requirements on form factors are formulated and explicit formulas for form factors of most fundamental local operators are presented for the above mentioned models.
Contents:
- Completely Integrable Models of Quantum Field Theory
- The Space of
Physical States
- The Necessary Properties of Form Factors
- The Local Commutativity Theorem
- Soliton Form Factors in SG Model
- The Main Properties of the Soliton Form Factors
- Breathers Form Factors in SG Model
- Properties of the Operators jm, Tmnexp(± i[(bu)/ 2]) in SG Model
- Form Factors in SU(2)-Invariant Thirring Model
- Form Factors in O(3)-Nonlinear s-model
- Asymptotics of Form Factors
- Current Algebras
- Form Factors in SU(N) - Invariant Thirring Model (SU(N) Chiral Gross-Neveu Model)
- Phenomenological Reasonings
Readership: Mathematical physicists.
"It will be of great help to those who look for a reliable source of the numerous detailed calculations that have been performed over the years by many experts."
| 224pp |
Pub. date: Aug 1992 |
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