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

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

2004-12-09

arxiv.org/abs/hep-th/0412099v1

Int.J.Mod.Phys.A21:2481-2518,2006

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX

Scientific paper

10.1142/S0217751X06029375

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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