A renormalisation group method. I. Gaussian integration and normed algebras

Autor:	Brydges, David C., Slade, Gordon
Rok vydání:	2014
Předmět:	Mathematical Physics Mathematics - Dynamical Systems Mathematics - Probability 82B28 (Primary) 97K99 37A60 (secondary)
Druh dokumentu:	Working Paper
DOI:	10.1007/s10955-014-1163-z
Popis:	This paper is the first in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both. Our immediate motivation is a specific model, involving both boson and fermion fields, which arises as a representation of the continuous-time weakly self-avoiding walk. In this paper, we define normed algebras suitable for a renormalisation group analysis, and develop methods for performing analysis on these algebras. We also develop the theory of Gaussian integration on these normed algebras, and prove estimates for Gaussian integrals. The concepts and results developed here provide a foundation for the continuation of the method presented in subsequent papers in the series. Comment: 43 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.7244 Zobrazit plný text záznamu View this record from Arxiv