Non-perturbative issues in Quantum Field Theory

• Grant number: 97/06499-2
• Support Opportunities: Research Projects - Thematic Grants
• Start date: August 01, 1998
• End date: July 31, 2002
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Elcio Abdalla
• Grantee: Elcio Abdalla
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project is an essay where we try to underline interdisciplinarity, but at the same time coherence of the subjects, with methods which have correlation.The main line to be followed are the non perturbative methods in non linear theories. The first part refers to problems in two dimensional quantum field theories, with methods well known to the proponents of the project, since this is their specialized area.The next generalization is configurated in theories in three dimensional space-time, as well as integrable theories in four dimensions.Furthermore, there is an interest in cosmology and dynamical systems with chaotic or fractal behaviour.Complex systems and more general problems are also mentioned and contained in the project, where the methods used are also non-perturbative. (AU)