Autocatalysis of Graviton Production via the Gertsenshtein Effect for the Yang-Mills Field
arXiv:2301.12801 · doi:10.1016/j.dark.2023.101341
Abstract
As shown by Gertsenshtein in 1961, an external magnetic field can couple electromagnetic to gravitational waves, giving rise to oscillations between them. Viewed as a quantum process, the magnetic field has catalyzed the mixing of photon and graviton states. We show that the self-interaction terms of the Yang-Mills SU(2) field can take the place of the external magnetic field and autocatalyze the mixing of Yang-Mills bosons and gravitons. In the process, rotational symmetry is broken and the Yang-Mills boson acquires a mass.
11 pages, no figures. V2: Largely as version one. Units changed to conform to previous paper. Results unchanged but a few lines regarding relationship to Higgs mechanism and neutrino oscillations rewritten. V3: Ansatz slightly modified. Four-current introduced to satisfy constraint equations. Results unchanged. Version accepted for publication in PDU