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arxiv: 0906.5492 · v2 · pith:QJ7XTQDNnew · submitted 2009-06-30 · ✦ hep-th · cond-mat.str-el· hep-ph

Supersymmetry breaking as a quantum phase transition

classification ✦ hep-th cond-mat.str-elhep-ph
keywords supersymmetrybreakingcontrolparameterphasequantumrelationrelevant
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We explore supersymmetry breaking in the light of a rich fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge using the functional renormalization group (RG). We relate the dynamical breaking of supersymmetry to an RG relevant control parameter of the superpotential which is a common relevant direction of all fixed points of the system. Supersymmetry breaking can thus be understood as a quantum phase transition analogously to similar transitions in correlated fermion systems. Supersymmetry gives rise to a new superscaling relation between the critical exponent associated with the control parameter and the anomalous dimension of the field -- a scaling relation which is not known in standard spin systems.

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