Instantons in curved spaces

Author(s)

Gustavo Marques Tavares

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
• Defense date: 2010-04-13

Examining board members

Ricardo Antonio Mosna; Luiz Agostinho Ferreira; Guillermo Gerardo Cabrera Oyarzún

• Advisor: Ricardo Antonio Mosna

Abstract

In this work we study instanton solutions of the Yang-Mills theory in Schwarzschild and Reissner-Nordstrom spaces with gauge group SU(2).Instantons are solutions to the classical field equations of Yang-Mills theory defined in a space with Riemannian (positive de finite)metric with finite action. We begin with a review of the geometric setting of Yang-Mills theory on a four dimensional manifold,which relates the gauge fields to connections on a fiber bundle.We proceed by presenting the main results related to instantons in flat space. In the second part of this thesis we perform a systematic study of the solutions of Yang-Mills theory in Euclidian Schwarzschild and Reissner-Nordstrom spaces.This approach led us to discover a new family of instantons de fined in those backgrounds. Moreover, our results show that the number of instanton families in the Reissner-Nordstrom space depends directly on the eletric charge which caracterizes this geometry (AU)

• FAPESP's process: 07/06860-0 - Gauge theories: dynamical and topological aspects
• Grantee: Gustavo Marques Tavares
• Support Opportunities: Scholarships in Brazil - Master