Introduction to the theory of integrable fields and solitons
| Grant number: | 18/01290-6 |
| Support Opportunities: | Regular Research Grants |
| Duration: | April 01, 2018 - March 31, 2020 |
| 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 grant(s): | 18/07728-3 - The concept of quasi-integrability, AP.R SPRINT |
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: the connection between non-abelian gauge theories and integrable field theories in any dimension, deformations of exactly integrable soliton theories in (1+1)-dimensions that present the phenomenon of quasi-integrability, and the concept of self-duality applied to soliton solutions in low energy effective theories of the Skyrme type. (AU)
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