Scale-Dependent Functions, Stochastic Quantization and Renormalization

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Author: Altaisky, M.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146180
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Scale-Dependent Functions, Stochastic Quantization and Renormalization / M.V. Altaisky // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 27 назв. — англ.

We consider a possibility to unify the methods of regularization, such as the renormalization group method, stochastic quantization etc., by the extension of the standard field theory of the square-integrable functions φ(b) ∊ L²(Rd) to the theory of functions that depend on coordinate b and resoluti...