Dual field approach to correlation functions in the Heisenberg xxz spin Chain
Recent Progress in Statistical Mechanics and Quantum Field Theory: Department of Physics & Astronomy, University of Southern California, 16-21 May 1994 World Scientific Publishing Company Inc. (1995)
Abstract:
We study zero temperature correlation functions of the spin-$1\over 2$ Heisenberg XXZ model in the critical regime $-1< \Delta\leq 1$ in a magnetic field by means of the {\tenit Dual Field Approach}. We show for one particular example how to derive determinant representations for correlation functions and how to use these to embed the correlation functions in integrable systems of integro-difference equations (IDE). These IDE are associated with a Riemann-Hilbert problem.DETERMINANT REPRESENTATION FOR CORRELATION-FUNCTIONS OF SPIN-1/2-XXX AND SPIN-1/2-XXZ HEISENBERG MAGNETS
COMMUNICATIONS IN MATHEMATICAL PHYSICS 174:1 (1995) 191-214
DRESSED S-MATRICES IN MODELS WITH LONG-RANGE INTERACTIONS
PHYSICAL REVIEW B 51:19 (1995) 13357-13366
EXACT RESULTS ON A SUPERSYMMETRIC EXTENDED HUBBARD MODEL
HUBBARD MODEL: ITS PHYSICS AND MATHEMATICAL PHYSICS 343 (1995) 81-88
EXTENDED HUBBARD MODELS, ETA-PAIRING AND SUPERSYMMETRY
JOURNAL OF LOW TEMPERATURE PHYSICS 99:3-4 (1995) 415-420