Supersymmetry breaking as a quantum phase transition

Details Supersymmetry breaking as a quantum phase transition Supersymmetry breaking as a quantum phase transition

2009-06-30

arxiv.org/abs/0906.5492v2

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures, discussion of results extended, version to appear as a Rapid Communication in Phys. Rev. D

Scientific paper

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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