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Supersymmetry breaking as a quantum phase transition

Holger Gies, Franziska Synatschke, and Andreas Wipf
Phys. Rev. D 80, 101701(R) – Published 23 November 2009

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. 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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  • Received 7 July 2009

DOI:https://doi.org/10.1103/PhysRevD.80.101701

©2009 American Physical Society

Authors & Affiliations

Holger Gies, Franziska Synatschke, and Andreas Wipf

  • Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

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Issue

Vol. 80, Iss. 10 — 15 November 2009

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