Higher genus correlators for the Hermitian matrix model with multiple cuts
Jun, 199631 pages
Published in:
- Nucl.Phys.B 482 (1996) 403-430
e-Print:
- hep-th/9606004 [hep-th]
Report number:
- NBI-HE-96-30,
- ITP-UH-08-96
View in:
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Abstract:
An iterative scheme is set up for solving the loop equation of the hermitian one-matrix model with a multi-cut structure. Explicit results are presented for genus one for an arbitrary but finite number of cuts. Due to the complicated form of the boundary conditions, the loop correlators now contain elliptic integrals. This demonstrates the existence of new universality classes for the hermitian matrix model. The two-cut solution is investigated in more detail, including the double-scaling limit. It is shown, that in special cases it differs from the known continuum solution with one cut.Note:
- 25 pages, Latex file, 1 figure Report-no: NBI-HE-96-30, ITP-UH-08/96
- 04.60.Kz
- 05.50.+q
- Hermitian matrix model
- Multi-band structure
- Universality classes
- Higher genus correlators
- matrix model
- partition function
- perturbation theory: higher-order
- dispersion relation
References(18)
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