Marinari-Parisi and Supersymmetric Collective Field Theory

Details Marinari-Parisi and Supersymmetric Collective Field Theory Marinari-Parisi and Supersymmetric Collective Field Theory

1992-04-20

arxiv.org/abs/hep-th/9204061v1

Int. J. Mod. Phys. A8 (1993) 2517-2550

Physics

High Energy Physics

High Energy Physics - Theory

45 pages

Scientific paper

10.1142/S0217751X93001004

A field theoretic formulation of the Marinari-Parisi supersymmetric matrix model is established and shown to be equivalent to a recently proposed supersymmetrization of the bosonic collective string field theory. It also corresponds to a continuum description of super-Calogero models. The perturbation theory of the model is developed and, in this approach, an infinite sequence of vertices is generated. A class of potentials is identified for which the spectrum is that of a massless boson and Majorana fermion. For the harmonic oscillator case, the cubic vertices are obtained in an oscillator basis. For a rather general class of potentials it is argued that one cannot generate from Marinari-Parisi models a continuum limit similar to that of the d=1 bosonic string.

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