Supersymmetric bag model to unite gravity with particle physics
Extremely high spin/mass ratio of the spinning particles (in dimensionless units about 20-22 orders) shows that Kerr-Newman (KN) solution has very strong influence on the metric on the Compton scale, contrary to commonly accepted point of view that gravity is negligible for particle physics. As a result, the problem of compatibility Gravity with Quantum theory becomes very actual for spinning nonperturbative solutions. We show that consistency of the soliton-like solutions with external KN gravity can be achieved without modification of the Einstein-Maxwell field equations, by using supersymmetric version of the Higgs mechanism of symmetry breaking. We consider a non-perturbative bag-like solution in the generalized Landau-Ginzburg field model, as a domain wall interpolating between the external KN gravitational field and the supersymmetric vacuum state inside the bag. According to features of the typical bag models, we consider confinement of the Dirac equation and deformations of the bag boundary by string-like excitations. We show that supersymmetric Higgs model is naturally upgraded to the Wess-Zumino model of supersymmetric QED, indicating a bridge from the non-perturbative super-bag model to perturbative formalism of the conventional QED.
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A. Burinskii, Source of the Kerr-Newman solution as a supersymmetric domain-wall bubble: 50 years of the problem, Phys Lett. B 754 (2016) 99, arXiv:1602.04215.