Yang-Mills Theories: Their Integral Laws

• Grant number: 23/13750-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2024
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Luiz Agostinho Ferreira
• Grantee: Caio Angelo da Silva
• 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. The main topic of interest is the study of global aspects of non-abelian gauge theories (Yang-Mills) using their integral equations, and their connection with some structures in loop space. We plan to investigate the properties of the non-abelian integral laws of Yang-Mills theories, which are a generalization of the usual integral laws of electrodynamics, like the Gauss law, the Faraday law, etc.