LOOP EQUATIONS AND NON-PERTURBATIVE EFFECTS IN TWO-DIMENSIONAL QUANTUM GRAVITY

30 May 1990

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A

Vol. 05 (13) , 1019-1029
https://doi.org/10.1142/s0217732390001141

Abstract

We present the loop equations of motion which define the correlation functions for loop operators in two-dimensional quantum gravity. We show that non-perturbative correlation functions constructed from real solutions of the Painlevé equation of the first kind violate these equations by non-perturbative terms.

Keywords

ELEMENTARY PARTICLES
EQUATION OF MOTION
DIFFERENTIAL EQUATION
NON PERTURBATIVE
FIELD THEORY
QUANTUM MECHANICS
QUANTUM GRAVITY
PARTIAL DIFFERENTIAL EQUATION
QUANTUM FIELD THEORY
CORRELATION FUNCTION

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