Emergence of Yang Mills theory from the Non-Abelian Nambu Model

30th Annual Meeting of the Division of Particles and Fields (DPyC) of the Mexican Physical Society

Escobar, C.A.^1 ; Urrutia, L.F.^1

Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F.

04510, Mexico^1

关键词: Gauge fields;    Gauss law;    Goldstone bosons;    Initial time;    Lorentz violations;    Spontaneous symmetry breaking;    Unobservable;    Yang-Mills theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/761/1/012058/pdf
DOI  :  10.1088/1742-6596/761/1/012058

来源: IOP

【 摘 要 】

The equivalence between the Non-Abelian Nambu model (NANM) and Yang Mills theory is proved, after demanding the Gauss laws at some initial time to the first one. Thereby, the Lorentz violation encoded into the constraint that defines the NANM is physically unobservable. As result, the Goldstone bosons in the NANM arising from the spontaneous symmetry breaking can be identified as the standard gauge fields.