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Gauge fields as constrained composite bosons
Physics Letters B ( IF 4.4 ) Pub Date : 2021-04-12 , DOI: 10.1016/j.physletb.2021.136281
J.L. Chkareuli

We reconsider a scenario in which photons and other gauge fields appear as the composite vector bosons made of the fermion pairs that may happen with or without spontaneous violation of Lorentz invariance. The class of composite models for emergent gauge fields is proposed, where these fields are required to be restricted by the nonlinear covariant constraint of type AμAμ=M2. Such a constraint may only appear if the corresponding fermion currents in the prototype model, being invariant under some global internal symmetry G, are properly constrained as well. In contrast to the conventional approach, the composite bosons emerged in this way appear naturally massless, the global symmetry G in the model turns into the local symmetry Gloc, while the vector field constraint reveals itself as the gauge fixing condition. Finally, we consider the case when the constituent fermions generating emergent gauge bosons could be at the same time the preons composing the known quark-lepton species in the Standard Model and Grand Unified Theories.



中文翻译:

标量场作为受约束的复合玻色子

我们重新考虑了一个场景,其中光子和其他规范场以费米子对制成的复合矢量玻色子出现,无论是否发生自发违反洛伦兹不变性,都可能发生这种情况。提出了用于新兴规范场的复合模型的类别,其中要求这些场受类型为非线性协变约束的约束。一种μ一种μ=中号2个。只有在原型模型中相应的费米子电流(在某些全局内部对称性G下不变)也得到适当约束的情况下,这种约束才可能出现。与传统方法相反,以这种方式出现的复合玻色子自然无质量,模型中的整体对称性G变为局部对称性GØC,而矢量场约束则显示为量规固定条件。最后,我们考虑这样一种情况,即产生标准规玻色子的构成费米子可能同时是构成标准模型和大统一理论中已知的夸克-轻子物种的先子。

更新日期:2021-04-19
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