Ornstein-Zernike Asymptotics for a General “Two-Particle” Lattice Operator

• Published in: Communications in mathematical physics Vol. 305; no. 3; pp. 605 - 631
• Main Authors: Boldrighini, C., Minlos, R. A., Pellegrinotti, A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.08.2011
• Subjects: Classical and Quantum Gravitation; Complex Systems; Mathematical and Computational Physics; Mathematical Physics; Physics; Physics and Astronomy; Quantum Physics; Relativity Theory; Theoretical; Real Point; Singular Term; Random Walk; Stochastic Operator; Lattice Operator

We study the asymptotic behavior of correlations for a general “two-particle” operator acting on the Hilbert space , for all dimension d  = 1, 2, . . .. is written as the sum of a “main” term, and a small “interacting” term, a form which appears in many problems. If the interacting term is small, we...