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Algebraic and constructive aspects of quantum field theories

Grant number: 12/03871-0
Support type:Research Grants - Visiting Researcher Grant - International
Duration: August 27, 2012 - August 26, 2013
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:João Carlos Alves Barata
Grantee:João Carlos Alves Barata
Visiting researcher: Christian Dieter Jakel
Visiting researcher institution: Cardiff University, Wales
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The research proposal involves the use of methods of algebraic Quantum Field Theory and Local Quantum Physics in Constructive Quantum Field Theories and in the study of statistical properties if Dynamical Quantum Systems. Several related mathematical subjects also come into play, involving the study of non-commutative L^p spaces and the deformation theory of von Neumann algebras. (AU)