Gauge Theories and Nonlinear Phenomena

• Grant number: 21/10141-7
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: September 01, 2022
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Luiz Agostinho Ferreira
• Grantee: Henrique Malavazzi
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The present research project uses techniques from integrable field theories and soliton theory to study non-linear phenomena and non-perturbative aspects of field theories of physical interest. It consists of three main topics: i) the study of global aspects of non-abelian gauge theories (Yang-Mills) using their integral equations, and their connection with integrable field theories, ii) applications of the concept of self-duality to soliton solutions for field theories of physical interest, iii) the construction, through numerical techniques, of Skyrmion solutions for a modified Skyrme model, recently proposed, that possesses an exact self-dual sector.