Noncommutative aspects in quantum field theory

• Grant number: 06/01004-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2006
• End date: March 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Marcelo Otavio Caminha Gomes
• Grantee: Bruno André Charneski
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Conceptual and technical aspects of noncommutative field theories will be investigated.The method of stochastic quantization will be applied to the construction of noncommutative field theories especially focusing the O(N) nonlinear sigma model whose formulation within the canonical approach meets serious difficulties. In the noncommutative context, quantum group methods will be applied to the study of symmetries and the effects of a possible breaking of the Lorentz invariance at the Planck’s scale will be analyzed.