Spontaneous Collapse of Supersymmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0550-3213(97)00274-5

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.

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