Scaling Limit and Renormalisation Group in General (Quantum) Many Body Theory

Details Scaling Limit and Renormalisation Group in General (Quantum) Many Body Theory Scaling Limit and Renormalisation Group in General (Quantum) Many Body Theory

2001-08-30

arxiv.org/abs/cond-mat/0108511v1

Physics

Condensed Matter

Statistical Mechanics

Latex, 19 pages, no pictures

Scientific paper

Using the machinery of smooth scaling and coarse-graining of observables, developed recently in the context of so-called fluctuation operators (originally developed by Verbeure et al), we extend this approach to a rigorous renormalisation group analysis of the critical regime. The approach is completely general, encompassing classical, quantum, discrete and continuous systems. Our central theme is the analysis of the famous `scaling hypothesis', that is, we make a general investigation under what cluster conditions of the l-point correlation functions a scale invariant (non-trivial) limit theory can be actually attained.

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