Renormalization group in statistical mechanics and mechanics: gauge symmetries and vanishing beta functions

Author:

Gallavotti Giovanni

Publisher

Elsevier BV

Subject

General Physics and Astronomy

Reference37 articles.

1. Perturbation theory of the Fermi surface in a quantum liquid. A general quasi particle formalism and one dimensional systems;Benfatto;J. Stat. Phys.,1990

2. Benfatto, G., Gallavotti, G., 1995. Renormalization Group. Princeton University Press, Princeton, NJ, pp. 1–144.

3. Beta function and Schwinger functions for a many body system in one dimension. Anomaly of the Fermi surface;Berretti;Commun. Math. Phys.,1994

4. Berretti, A., Gentile, G., 1999. Scaling properties of the radius of convergence of a Lindstedt series: the standard map. J. Math. 78, 159–176. And Scaling properties of the radius of convergence of a Lindstedt series: generalized standard map, preprint, 1999.

5. KAM theorem and quantum field theory;Bricmont;Commun. Math. Phys.,1999

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5. A RENORMALIZATION PROOF OF THE KAM THEOREM FOR NON-ANALYTIC PERTURBATIONS;Reviews in Mathematical Physics;2007-07

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