1305.4470 (J. L. Chkareuli)

Photon as an Emergent Photino Companion in Spontaneously Broken SUSY QED    [PDF]

J. L. Chkareuli

We extend study of spontaneous Lorentz invariance violation (SLIV) and an associated emergence of gauge bosons as massless vector Nambu-Goldstone modes to the supersymmetric models. The main conclusion appearing in SUSY context seems to be that the zero vector field modes could be triggered by the spontaneously broken supersymmetry rather than the physically manifested SLIV. We consider supersymmetric QED model extended by an arbitrary polynomial potential of massive vector superfield that induces the spontaneous SUSY violation in the visible sector. As a consequence, a massless photon appears as a companion of a massless photino emerging as a goldstino in the tree approximation, and remains massless due to the simultaneously generated special gauge invariance. This invariance is only restricted by the supplemented vector field constraint invariant under supergauge transformations. Meanwhile, photino being mixed with another goldstino appearing from a spontaneous SUSY violation in the hidden sector largely turns into the light pseudo-goldstino. Such pseudo-goldstonic photinos are of a special observational interest in the model that, apart from some indication of the QED emergence nature, may appreciably extend the scope of SUSY breaking physics being actively studied in recent years.

View original: http://arxiv.org/abs/1305.4470