Supersymmetry breaking as a quantum phase transition

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.

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

References in corpus (5)

• Exact evolution equation for the effective potential
• BCS-BEC crossover on the two-dimensional honeycomb lattice
• Flow Equation for Supersymmetric Quantum Mechanics
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• Construction of a Wilson action for the Wess-Zumino model

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• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• A functional perspective on emergent supersymmetry
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