Photon and photino as Nambu–Goldstone zero modes in an emergent SUSY QED

Abstract

We argue that supersymmetry with its wellknown advantages, such as naturalness, grand unification, and dark matter candidate seems to possess one more attractive feature: it may trigger, through its own spontaneous violation in the visible sector, a dynamical generation of gauge fields as massless Nambu-Goldstone modes during which physical Lorentz invariance itself is ultimately preserved. We consider the supersymmetric QED model extended by an arbitrary polynomial potential of a massive vector superfield that breaks gauge invariance in the SUSY invariant phase. However, the requirement of vacuum stability in such a class of models renders both supersymmetry and Lorentz invariance spontaneously broken. As a consequence, the massless photino and photon appear as the corresponding NambuGoldstone zero modes in the emergent SUSY QED, and also a special gauge invariance is simultaneously generated. Due to this invariance all observable relativistically non-invariant effects appear to be completely canceled out among themselves and physical Lorentz invariance is recovered. Nevertheless, such theories may have an inevitable observational evidence in terms of the goldstino-photino like state present in the low-energy particle spectrum. Its study is of special interest for this class of SUSY models, which, apart from some indications of the emergence nature of QED and the Standard Model, may appreciably extend the scope of SUSY breaking physics being actively studied in recent years.

Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model

“…Indeed, under the U (1) transformation, the variation of the Lagrangian (44) is completely given by the variation of its potential, hence, if we have a gauge transformation from one minima to another, the potential is invariant. The similar situation takes place also in Lorentz-invariant theories [19].…”

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario

“…[43][44][45][46][47][48][49][50][51][52][53], where we have listed papers that put SUSY in direct association with models of CPT-breaking and LSV. More recently, the relationship between SUSY breaking and LSV has been discussed in the works by Chkareuli [12] and in the article by Pospelov and Tamarit [13], where these authors consider the possibility that SUSY and Lorentz-symmetry breaking have a common origin if supersymmetric matter is coupled to Horava-Lifshitz gravity.…”

Lorentz-symmetry violating physics in a supersymmetric scenario in (2 + 1)-D

“…The intensive activity on Lorentz Symmetry violation (LSV) encompasses broad variety of phenomena from ground-based experiments such as atomic physics, to accelerator physics and astrophysics. LSV takes place at vary high energies, close to the Planckian scale, but it may be felt at accessible regions of our observations and may point to new patches to understand more fundamental physics beyond the SM [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”