The Marinari-Parisi Model and Collective Field Theory
J.D. Cohn, H. Dykstra
TL;DR
This paper derives the supersymmetric collective field theory for the Marinari-Parisi model, revealing a family of ground states connected by instantons, with implications for understanding non-perturbative effects in matrix models.
Contribution
It introduces a supersymmetric collective field theory for the Marinari-Parisi model and analyzes the structure of ground states and instantons within this framework.
Findings
Identifies a one-parameter family of ground states
Connects ground states via instantons
Notes the absence of instanton size effects at leading order
Abstract
We derive the supersymmetric collective field theory for the Marinari-Parisi model. For a specific choice of the superpotential, to leading order we find a one parameter family of ground states which can be connected via instantons. At this level of analysis the instanton size implied by the underlying matrix model does not appear.
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