Some quartization problems in theories with non-Abelian backgrounds and in non-commutative spacetimes

Author(s)

Rodrigo Fresneda

• Document type: Doctoral Thesis
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2008-10-06

Examining board members

Dmitri Maximovitch Guitman; Bruto Max Pimentel Escobar; Josif Frenkel; Antonio Edson Goncalves; Fernando Silveira Navarra

• Advisor: Dmitri Maximovitch Guitman

Abstract

This thesis is based on three published papers by the author and co-authors. The rst article treats the quantization problem of pseudoclassical models of scalar particles in non-Abelian backgrounds, which aims at deriving these models using path-integral methods. The second article examines the possibility of realizing dilaton gravity models in noncommutative two-dimensional manifolds. It relies upon a method of analysis of constraints and symmetries especially developed for non-commutative dilaton gravities in two dimensions. The third article discusses renormalizable models in noncommutative spacetime with bifermionic noncommutative parameter in four dimensions. (AU)