Phase diagram and orthogonal polynomials in multiple well matrix models
Sep, 1990
36 pages
Published in:
- Int.J.Mod.Phys.A 6 (1991) 4491-4516
Report number:
- IASSNS-HEP-90-69,
- CCNY-HEP-90-18
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Abstract: (WSP)
We investigate a zero-dimensional Hermitian one-matrix model in a triple-well potential. Its tree-level phase structure is analyzed semiclassically as well as in the framework of orthogonal polynomials. Some multiple-arc eigenvalue distributions in the first method correspond to quasiperiodic large-N behavior of recursion coefficients for the second. We further establish this connection between the two approaches by finding three-arc saddle points from orthogonal polynomials. The latter require a modification for nondegenerate potential minima; we propose weighing the average over potential wells.- matrix model
- dimension: 0
- critical phenomena
- potential
- mathematical methods
- expansion 1/N
- energy: ground state
- numerical calculations
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