4.7 Article

Supersymmetry breaking as a quantum phase transition

期刊

PHYSICAL REVIEW D
卷 80, 期 10, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.80.101701

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  1. Studienstiftung des deutschen Volkes
  2. DFG [GRK 1523, Wi 777/10-1, FOR 723, Gi 328/5-1]

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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. We relate the dynamical breaking of supersymmetry to a renormalization group 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 analogous 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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