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arXiv · 0906.5492

Supersymmetry breaking as a quantum phase transition

Holger Gies·Franziska Synatschke·Andreas Wipf
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Abstract

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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Holger Gies, Franziska Synatschke, Andreas Wipf. 2009-11-19. Supersymmetry breaking as a quantum phase transition. https://doi.org/10.1103/physrevd.80.101701

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