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

The European Physical Journal C

J. L. Chkareuli¹ 

[1] Center for Elementary Particle Physics, Ilia State University, 0162 , Tbilisi, Georgia;E. Andronikashvili Institute of Physics, 0177 , Tbilisi, Georgia;

关键词: SUSY Breaking;    Hide Sector;    Vacuum Expectation Value;    Visible Sector;    Goldstone Mode;   

DOI  :  10.1140/epjc/s10052-014-2906-3

来源: Springer

【 摘 要 】

We argue that supersymmetry with its well-known 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 Nambu–Goldstone 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.

【 授权许可】

CC BY