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Unified description of correlators in non-Gaussian phases of Hermitean matrix model

A. Alexandrov·A. Mironov·A. Morozov
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Abstract

Following the program, proposed in hep-th/0310113, of systematizing known properties of matrix model partition functions (defined as solutions to the Virasoro-like sets of linear differential equations), we proceed to consideration of non-Gaussian phases of the Hermitean one-matrix model. A unified approach is proposed for description of "connected correlators" in the form of the phase-independent "check-operators" acting on the small space of T-variables (which parameterize the polynomial W(z)). With appropriate definitions and ordering prescriptions, the multidensity check-operators look very similar to the Gaussian case (however, a reliable proof of suggested explicit expressions in all loops is not yet available, only certain consistency checks are performed).

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A. Alexandrov, A. Mironov, A. Morozov. 2004-12-09. Unified description of correlators in non-Gaussian phases of Hermitean matrix model. https://doi.org/10.1142/s0217751x06029375

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