arXiv 2102.112172021-02hep-phhep-th

作为约束复合玻色子的规范场

Gauge Fields as Constrained Composite Bosons

J. L. Chkareuli

备注：: 15 pages, Published version - to appear in Physics Letters B. arXiv admin note: text overlap with arXiv:1305.6898
DOI：: 10.1016/j.physletb.2021.136281

摘要：

我们重新考虑了一种情况，在这种情况下，光子和其他规范场表现为由费米子对组成的复合矢量玻色子，这种复合矢量玻色子可能会自发破坏洛伦兹不变性，也可能不会。提出了一类涌现规范场的复合模型，其中这些规范场需要受到$ A_{μ}^{2}=M^{2}$型非线性协变约束的约束。只有当原型模型中相应的费米子电流在某些全局内部对称性$G$下不变时，这种约束才可能出现。与传统的方法不同，用这种方法得到的复合玻色子看起来自然无质量，模型中的整体对称性$G$变成了局域对称性$G_{loc}$，而矢量场约束则表现为规范固定条件。最后，我们考虑了在标准模型和大统一理论中，产生涌现规范玻色子的费米子可能同时是构成已知夸克-轻子种类的前子的情况。

英文摘要：

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 by the nonlinear covariant constraint of type $ A_{μ}^{2}=M^{2}$. 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 $G_{loc}$, 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.

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摘要：

英文摘要：

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