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Particles and Fields
Eur. Phys. J. C 32, 575-582 (2004)
DOI: 10.1140/epjc/s2003-01464-1

On the multi trace superpotential and corresponding matrix model

M. Alishahiha1 and H. Yavartanoo1, 2

1  Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran, Iran
2  Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran


(Received: 2 May 2003 / / Published online: 18 December 2003)

We study ${\cal N}=1$ supersymmetric U(N) gauge theory coupled to an adjoint scalar superfield with a cubic superpotential containing a multi trace term. We show that the field theory results can be reproduced from a matrix model whose potential is given in terms of a linearized potential obtained from the gauge theory superpotential by adding some auxiliary non-dynamical field. Once we get the effective action from this matrix model we could integrate out the auxiliary field getting the correct field theory results.

© Società Italiana di Fisica, Springer-Verlag 2004