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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Generalized self-duality for the Yang-Mills-Higgs system

Texto completo
Autor(es):
Ferreira, L. A. [1] ; Malavazzi, H.
Número total de Autores: 2
Afiliação do(s) autor(es):
[1] Inst Fis Sao Carlos, USP Caixa Postal 369, BR-13560970 Sao Carlos, SP - Brazil
Número total de Afiliações: 1
Tipo de documento: Artigo Científico
Fonte: Physical Review D; v. 104, n. 10 NOV 19 2021.
Citações Web of Science: 0
Resumo

Self-duality is a very important concept in the study and applications of topological solitons in many areas of physics. The rich mathematical structures underlying it lead, in many cases, to the development of exact and nonperturbative methods. We present a generalization of the Yang-Mills-Higgs system by the introduction of scalar fields assembled in a symmetric and invertible matrix h of the same dimension as the gauge group. The coupling of such new fields to the gauge and Higgs fields is made by replacing the Killing form, in the contraction of the group indices, with the matrix h in the kinetic term for the gauge fields and with its inverse in the Higgs field kinetic term. The theory is conformally invariant in the three-dimensional space R3. An important aspect of the model is that for practically all configurations of the gauge and Higgs fields the new scalar fields adjust themselves to solve the modified self-duality equations. We construct solutions using a spherically symmetric Ansatz and show that the `t Hooft-Polyakov monopole becomes a self-dual solution of such modified Yang-Mills-Higgs systems. We use an Ansatz based on the conformal symmetry to construct vacuum solutions presenting nontrivial toroidal magnetic fields. (AU)

Processo FAPESP: 18/21601-6 - Teorias de Gauge: equações integrais e auto-dualidade
Beneficiário:Henrique Malavazzi
Modalidade de apoio: Bolsas no Brasil - Mestrado