López-Sarrión, J.; Arias, Paola; Gamboa, J. \(SU(2)\) kinetic mixing terms and spontaneous symmetry breaking. (English) Zbl 1179.81185 Mod. Phys. Lett. A 24, No. 31, 2539-2550 (2009). Summary: The non-abelian generalization of the Holdom model, i.e. a theory with two gauge fields coupled to the kinetic mixing term \(g\) tr\((F_{\mu \nu }(A)F_{\mu \nu }(B))\) is considered. Contrary to the abelian case, the group structure \(G\times G\) is explicitly broken to \(G\). For \(SU(2)\) this fact implies that the residual gauge symmetry as well as the Lorentz symmetry is spontaneously broken. We show that this mechanism provides masses for the involved particles. Also, the model presents instanton solutions with a redefined coupling constant. MSC: 81V22 Unified quantum theories 81R25 Spinor and twistor methods applied to problems in quantum theory 35Q51 Soliton equations 81R40 Symmetry breaking in quantum theory PDFBibTeX XMLCite \textit{J. López-Sarrión} et al., Mod. Phys. Lett. A 24, No. 31, 2539--2550 (2009; Zbl 1179.81185) Full Text: DOI arXiv References: [1] DOI: 10.1016/0370-2693(91)91013-L · doi:10.1016/0370-2693(91)91013-L [2] DOI: 10.1142/S0217732392004031 · doi:10.1142/S0217732392004031 [3] DOI: 10.1016/S0550-3213(97)80028-4 · doi:10.1016/S0550-3213(97)80028-4 [4] DOI: 10.1016/0370-2693(85)90027-9 · doi:10.1016/0370-2693(85)90027-9 [5] Okun L. B., Sov. Phys. JETP 56 pp 502– [6] DOI: 10.1016/j.nuclphysb.2004.02.037 · Zbl 1107.81319 · doi:10.1016/j.nuclphysb.2004.02.037 [7] DOI: 10.1103/PhysRevD.77.015005 · doi:10.1103/PhysRevD.77.015005 [8] DOI: 10.1103/PhysRevD.52.6607 · doi:10.1103/PhysRevD.52.6607 [9] DOI: 10.1016/0370-2693(91)91710-D · doi:10.1016/0370-2693(91)91710-D [10] DOI: 10.1103/PhysRevD.62.083512 · doi:10.1103/PhysRevD.62.083512 [11] Abel S. A., JHEP 0807 pp 124– [12] DOI: 10.1103/PhysRevD.70.045023 · doi:10.1103/PhysRevD.70.045023 [13] Cohen A. G., JHEP 0702 pp 027– [14] DOI: 10.1103/PhysRevD.77.095008 · doi:10.1103/PhysRevD.77.095008 [15] DOI: 10.1016/0370-2693(86)91377-8 · doi:10.1016/0370-2693(86)91377-8 [16] DOI: 10.1103/PhysRevD.77.095001 · doi:10.1103/PhysRevD.77.095001 [17] Kostelecky V. A., Phys. Rev. 39 pp 683– [18] DOI: 10.1103/PhysRevLett.99.131101 · doi:10.1103/PhysRevLett.99.131101 [19] DOI: 10.1016/0003-4916(76)90062-2 · doi:10.1016/0003-4916(76)90062-2 [20] DOI: 10.1016/0003-4916(63)90069-1 · doi:10.1016/0003-4916(63)90069-1 [21] DOI: 10.1103/PhysRev.146.966 · doi:10.1103/PhysRev.146.966 [22] Atkatz D., Phys. Rev. 17 pp 1972– [23] Hosotani Y., Phys. Lett. B 19 pp 332– This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.