Gauge theories: dynamical and topological aspects

• Grant number: 07/06860-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2008
• End date: February 28, 2010
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Ricardo Antonio Mosna
• Grantee: Gustavo Marques Tavares
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 05/04558-0 - Symmetries in geometry, topology and mathematical physics, AP.TEM

Abstract

The purpose of this project is to approach dynamical and topological aspects of gauge theories with special attention paid to the geometry of instantons and sphalerons. We aim to provide the student with a strong background in the interface between Physics and Geometry, via the theory of connections on fiber bundles, index theorems and their relationship with anomalies in gauge theories. In a second step, the student will be presented to several subjects of ongoing research, with emphasis on instantons in curved spaces and the interplay between sphalerons and homotopy groups generators with minimizing properties.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

TAVARES, Gustavo Marques. Instantons in curved spaces. 2010. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin Campinas, SP.