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- In mathematics, the Yang–Mills–Higgs equations are a set of non-linear partial differential equations for a Yang–Mills field, given by a connection, and a Higgs field, given by a section of a vector bundle (specifically, the adjoint bundle). These equations are with a boundary condition where A is a connection on a vector bundle,DA is the exterior covariant derivative,FA is the curvature of that connection,Φ is a section of that vector bundle,∗ is the Hodge star, and[·,·] is the natural, graded bracket. These equations are named after Chen Ning Yang, Robert Mills, and Peter Higgs. They are very closely related to the Ginzburg–Landau equations, when these are expressed in a general geometric setting. M.V. Goganov and L.V. Kapitanskii have shown that the Cauchy problem for hyperbolic Yang–Mills–Higgs equations in Hamiltonian gauge on 4-dimensional Minkowski space have a unique global solution with no restrictions at the spatial infinity. Furthermore, the solution has the finite propagation speed property. (en)
- Em matemática, as equações de Yang-Mills-Higgs são um conjunto de equações parciais diferenciais não-lineares para um campo de Yang-Mills, dado por uma conexão, e um campo de Higgs, dado por uma seção de um fibrado vectorial. Estas equações são: com o valor sobre o contorno Essas equações são nomeados em homenagem a Chen Ning Yang, Robert L. Mills e Peter Higgs. (pt)
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- 3002 (xsd:nonNegativeInteger)
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- Yang-Mills-Higgs Lagrangian density (en)
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- Em matemática, as equações de Yang-Mills-Higgs são um conjunto de equações parciais diferenciais não-lineares para um campo de Yang-Mills, dado por uma conexão, e um campo de Higgs, dado por uma seção de um fibrado vectorial. Estas equações são: com o valor sobre o contorno Essas equações são nomeados em homenagem a Chen Ning Yang, Robert L. Mills e Peter Higgs. (pt)
- In mathematics, the Yang–Mills–Higgs equations are a set of non-linear partial differential equations for a Yang–Mills field, given by a connection, and a Higgs field, given by a section of a vector bundle (specifically, the adjoint bundle). These equations are with a boundary condition where A is a connection on a vector bundle,DA is the exterior covariant derivative,FA is the curvature of that connection,Φ is a section of that vector bundle,∗ is the Hodge star, and[·,·] is the natural, graded bracket. (en)
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- Equações de Yang-Mills-Higgs (pt)
- Yang–Mills–Higgs equations (en)
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