Classical solutions of Yang-Mills theory (2020)
- USP affiliated author: FIUSA, GUILHERME CAMARGO - IFSC
- School: IFSC
- Subjects: EQUAÇÕES DE YANG-MILLS; FÍSICA TEÓRICA; TEORIA DE GAUGE
- Language: Inglês
- Abstract: In this work, we investigate the SU (2) Yang-Mills theory and derive two classes of classical solutions of physical interest, namely, monopoles and instantons. The monopole solutions arise when we consider the Higgs mechanism, by topological arguments and the homotopy group formalism, we conclude that the original symmetry group SU (2) is spontaneously broken down to U(1), in the process, the mass of gauge particles is generated and the connection between topological charge and magnetic charge is established for the monopole. We calculate the magnetic charge and the mass of the ‘t Hooft-Polyakov monopole. Then, we explore the Bogomolny bound and the Bogomolny-Prasad-Sommerfield monopole, wich is an exact solution. We briefly discuss of the Montonen-Olive duality. For instanton solutions, we consider a pure SU (2) Yang-Mills theory on a Euclidean space-time, we show that the self-duality condition minimizes the Euclidean action, hence, we construct self-dual instanton and N-instanton solutions and calculate their action, obtaining that the action of N-instantons is n times the action of a single instanton.
ABNTFIUSA, Guilherme Camargo; FERREIRA, Luiz Agostinho. Classical solutions of Yang-Mills theory. [S.l: s.n.], 2020.
APAFiusa, G. C., & Ferreira, L. A. (2020). Classical solutions of Yang-Mills theory. São Carlos.
NLMFiusa GC, Ferreira LA. Classical solutions of Yang-Mills theory. 2020 ;
VancouverFiusa GC, Ferreira LA. Classical solutions of Yang-Mills theory. 2020 ;
Download do texto completo
|Guilherme Camargo Fiusa.p...||Direct link|
How to cite
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas