One-Point Functions of Loops and Constraints Equations of the Multi-Matrix Models at finite N

Details One-Point Functions of Loops and Constraints Equations of the Multi-Matrix Models at finite N One-Point Functions of Loops and Constraints Equations of the Multi-Matrix Models at finite N

1991-12-19

arxiv.org/abs/hep-th/9112057v1

Phys.Lett. B285 (1992) 42-48

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/0370-2693(92)91297-M

We derive one-point functions of the loop operators of Hermitian matrix-chain models at finite $N$ in terms of differential operators acting on the partition functions. The differential operators are completely determined by recursion relations from the Schwinger-Dyson equations. Interesting observation is that these generating operators of the one-point functions satisfy $W_{1+\infty}$-like algebra. Also, we obtain constraint equations on the partition functions in terms of the differential operators. These constraint equations on the partition functions define the symmetries of the matrix models at off-critical point before taking the double scaling limit.

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