Generalized self-duality for the Yang-Mills-Higgs system. FERREIRA, Luiz Agostinho; MALAVAZZI, Henrique.
Abstract: 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.
Physical Review D
v. 104, n. 10, p. 105016-1-105016-20 - Ano: 2021
Fator de Impacto: 5,296
@article={003053980,author = {FERREIRA, Luiz Agostinho; MALAVAZZI, Henrique.},title={Generalized self-duality for the Yang-Mills-Higgs system},journal={Physical Review D},note={v. 104, n. 10, p. 105016-1-105016-20},year={2021}}
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Abstract: 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.
@article={003053980,author = {FERREIRA, Luiz Agostinho; MALAVAZZI, Henrique.},title={Generalized self-duality for the Yang-Mills-Higgs system},journal={Physical Review D},note={v. 104, n. 10, p. 105016-1-105016-20},year={2021}}