1,720,983 research outputs found
The double-well phase of matrix models: The large-N general solution
No full textThe authors provide the general solution of the large-N limit of matrix models with even polynomial potential in the phase with two minimal. The solution is given both in the saddle point and in the orthogonal polynomials approaches
Multicritical points in matrix models
No full textThe simplest matrix model which exhibits multicritical points is carefully analysed. The authors reproduce results of potential interest for the non-perturbative theory of strings in the region where the orthogonal polynomials were correctly used. However, the analysis holds for the whole parameter space
Ising models on Feynman graphs
No full textAn Ising model on a lattice made of planar Feynman graphs, which was originally introduced by Kazakov, is studied. Its exact correspondence with a matrix model is reconsidered and a new correspondence suggested. The new nonperturbative phase of the model, recently found by one of us, is further analyzed. © 1988
The quantum mechanical planar propagator: From vector models to planar graphs
No full textIn the framework of a systematic investigation of planar field theory, we study the planar two-point Green function. We define and evaluate an expansion which preserves the formal properties of the theory and compute the three lowest lying poles of the propagator in a one-dimensional space-time, finding excellent agreement with known results
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