Publication : t90/043

Loop equations and non-perturbative effects in two-dimensional quantum gravity

David F. ()
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.
Année de publication : 1990
Revue : Mod. Phys. Lett. A 5 1019-1030 (1990)
DOI : 10.1142/S0217732390001141
Langue : Anglais
NB : [reprinted in `The large N expansion in quantum field theory and statistical physics: from spin system to 2-dimensional gravity', pp. 798-808, World Scientific, Singapore, 1993]
Editeurs : Brézin E., Wadia S.R.

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