Gauge Theories: integrable equations and self-duality

• Grant number: 18/21601-6
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2019
• End date: April 30, 2021
• 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 project aims at educating the student on the concepts involved in the formulation of abelian and non-abelian gauge theories, that govern three of the four interactions of nature, namely, electromagnetism and the weak and strong nuclear interactions. The student will develop, during his master's degree, research on the use of the integral equations of Yang-Mills to evaluate magnetic charges dynamically (and not topologically) conserved on classical solutions of magnetic monopoles in gauge theories as well as grand unified theories (GUT). In addition the student will also investigate the construction of classical self-dual solutions of some modifications of non-abelian gauge theories. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FERREIRA, L. A.; MALAVAZZI, H.. Generalized self-duality for the Yang-Mills-Higgs system. Physical Review D, v. 104, n. 10, NOV 19 2021. (18/21601-6)

Academic Publications

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

MALAVAZZI, Henrique. Gauge theories: integrable equations and self-duality. 2021. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Física de São Carlos (IFSC/BT) São Carlos.