Aspects of the quantum theory of non-commutative fields

• Grant number: 05/59479-7
• Support Opportunities: Research Projects - Thematic Grants
• Start date: June 01, 2006
• End date: May 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Marcelo Otavio Caminha Gomes
• Grantee: Marcelo Otavio Caminha Gomes
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Adilson José da Silva
• Associated research grant(s): 10/05910-7 - Study and proposals to solve inconsistences in the Horava-Lifshitz's gravitacional theory, AV.BR
• Associated scholarship(s): 09/09586-2 - Noncommutative field theories, BP.DR; 08/10112-2 - The structure of curved noncommutative space, BP.PD; 07/08604-1 - Dynamical supersymmetry breaking and noncommutative quantum field theory, BP.PD

Abstract

This project is dedicated to the study of some properties of noncommutative quantum field theories. The high nonlocality of these theories is at the root of their many unusual and intriguing features. The following aspects will be investigated: a) conceptual aspects. We will study the consistency of noncommutative field theories focusing both the renormalization and the existence of infrared/ultraviolet non-integrable singularities. This part of the project somehow complements previous studies by our group. Besides, we will also study formulations where the fermionic components of the super-space satisfy non(anti)commutative relations; b) Planck scale´s physics. Here we intend to investigate the implications in today's physics originated from an assumed granularity of the space-time at Planck's scale. Of particular interest are the implications of the Lorentz symmetry arousing from the space-time noncommutativity. We plan also to study theories defined in spaces where the commutator between cordinates depends on these coordinates (k-Minkowski space noncommutativity). (AU)