Vanishing Renormalization of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi></math></span> Term in Supersymmetric U(1) Theories

W. Fischler; H. P. Nilles; J. Polchinski; S. Raby; L. Susskind

doi:10.1103/PhysRevLett.47.757

Vanishing Renormalization of the $D$ Term in Supersymmetric U(1) Theories

W. Fischler, H. P. Nilles, J. Polchinski, S. Raby, and L. Susskind

Phys. Rev. Lett. 47, 757 – Published 14 September 1981

Abstract

The breaking of supersymmetry can be implemented by the $D$ term. This term can be quadratically divergent, ruining the possibility of naturally large hierarchies. According to Witten this does not occur if the U(1) gauge group is unified in a semisimple group. We show that sufficient conditions for the $D$ counterterm to vanish are less restrictive than grand unification and only require a vanishing trace of the U(1) charge. No cancellation between high-energy and low-energy scales is involved.

Received 29 June 1981

DOI:https://doi.org/10.1103/PhysRevLett.47.757

Authors & Affiliations

W. Fischler

University of Pennsylvania, Philadelphia, Pennsylvania 19104

H. P. Nilles^*, J. Polchinski, and S. Raby^†

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

L. Susskind

Institute for Theoretical Physics, Stanford University, Stanford, California 94305

^*Address after November 1, 1981: CERN, 1211 Geneva 23, Switzerland.
^†Address after September 1, 1981: Los Alamos Scientific Laboratory, Los Alamos, N. Mex. 87545.