Bounds on the decay of correlations for λ(∇φ)4 models
(1982) Communications in Mathematical Physics — Vol. 87, p. 385-394 (1982)
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- Abstract
- (en) We consider models, with an abelian continuous group of symmetry, of the type: We generalize Brascamp-Lieb inequalities to get (λ-independent) bounds on the low momentum behaviour of general correlation functions when these are truncated into two clusters. We then use this result to derive an asymptotic expansion (up the second order in λ) of the dielectric constant of this system.
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Fontaine, J. r. (1982). Bounds on the decay of correlations for λ(∇φ)4 models. Communications in Mathematical Physics, 87, 385-394. https://doi.org/10.1007/BF01206030 (Original work published 1982)