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Spontaneous Collapse of Supersymmetry

High Energy Physics - Theory 2009-10-30 v3 High Energy Physics - Phenomenology

Abstract

It is shown that, if generators of supersymmetry transformations (supercharges) can be defined in a spatially homogeneous physical state, then this state describes the vacuum. Thus, supersymmetry is broken in any thermal state and it is impossible to proceed from it by ``symmetrization'' to states on which an action of supercharges can be defined. So, unlike the familiar spontaneous breakdown of bosonic symmetries, there is a complete collapse of supersymmetry in thermal states. It is also shown that spatially homogeneous superthermal ensembles are never supersymmetric.

Keywords

Cite

@article{arxiv.hep-th/9701005,
  title  = {Spontaneous Collapse of Supersymmetry},
  author = {Detlev Buchholz and Izumi Ojima},
  journal= {arXiv preprint arXiv:hep-th/9701005},
  year   = {2009}
}

Comments

22 pages, amslatex, minor changes in text, two references added