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.
Cite
@article{arxiv.0906.5492,
title = {Supersymmetry breaking as a quantum phase transition},
author = {Holger Gies and Franziska Synatschke and Andreas Wipf},
journal= {arXiv preprint arXiv:0906.5492},
year = {2013}
}
Comments
5 pages, 2 figures, discussion of results extended, version to appear as a Rapid Communication in Phys. Rev. D