Effective description of the physical state space structure for dynamical systems with abelian and non-abelian first-class constraints.

• Grant number: 96/03108-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 1996
• End date: August 31, 1997
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Geza Fulop
• Grantee: Geza Fulop
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Introduction of a BRST-gauge-fixing regulator to make the inner product on the physical subspace well-defined. Application of this formalism to Yang-Mills theories, gravity in Ashtekar's variables, and 2+1 dimensional gravity. Study of the relation between the loop formalism and the gauge regularization. (AU)