skip to main content

Title: Single scale cluster expansions with applications to many Boson and unbounded spin systems

We develop a cluster expansion to show exponential decay of correlations for quite general single scale spin systems, as they arise in lattice quantum field theory and discretized functional integral representations for observables of quantum statistical mechanics. We apply our results to the small field approximation to the coherent state correlation functions of the grand canonical Bose gas at negative chemical potential, constructed by Balaban et al. [Ann. Henri Poincaré 11, 151–350 (2010c)], and to N component unbounded spin systems with repulsive two body interaction and massive, possibly complex, covariance. Our cluster expansion is derived by a single application of the Brydges-Kennedy-Abdesselam-Rivasseau interpolation formula.
Authors:
 [1]
  1. Departement Mathematik, ETH Zürich, Zürich (Switzerland)
Publication Date:
OSTI Identifier:
22403157
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; APPROXIMATIONS; BOSE-EINSTEIN GAS; BOSONS; CLUSTER EXPANSION; CORRELATION FUNCTIONS; EIGENSTATES; INTERPOLATION; QUANTUM FIELD THEORY; QUANTUM MECHANICS; SPIN; TWO-BODY PROBLEM