The concept of quasi-integrability and vortices for effective theories of Yang-Mills
| Grant number: | 22/00808-7 |
| Support Opportunities: | Regular Research Grants |
| Start date: | May 01, 2022 |
| End date: | December 31, 2024 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields |
| Principal Investigator: | Luiz Agostinho Ferreira |
| Grantee: | Luiz Agostinho Ferreira |
| Host Institution: | Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated scholarship(s): | 23/18074-2 - Gauge Theories and Non Linear Phenomena, BP.TT |
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 some structures in loop space, 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, that possesses an exact self-dual sector, with applications in Nuclear Physics. (AU)
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