Quantum field theory and noncommutative geometry

• Grant number: 10/18191-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: April 04, 2011
• End date: May 03, 2011
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitry Vasilevich
• Grantee: Dmitry Vasilevich
• Visiting researcher: Bruno Pierre Marie Iochum
• Visiting researcher institution: Université de Provence, France
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 07/03726-1 - Quantization and problems of the quantum theory of fields, AP.TEM

Abstract

This project is a continuation of a collaboration at an intersection of Quantum Field Theory and Noncommutative Geometry with the objectives to study the spectralaction with applications to particle physics, and to use the Quantum Field Theory methods for computations in Noncommutative Geometry. During this visit we shall (i) elaborate the methods to extend the spectral action to physical Lorentzian space-times, (ii) use the heat kernel to evaluate the Connes-Moscovici cohomologies on manifolds with boundaries. (AU)