A non perturbative definition of 2D quantum gravity

Enzo Marinari; Giorgio Parisi

doi:10.1016/0370-2693(90)91897-K

A non perturbative definition of 2D quantum gravity

Enzo Marinari^*
, Giorgio Parisi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We propose a non perturbative definition of two-dimensional quantum gravity. Our definition is based on stochastic quantization, and the well behaving operators of the theory satisfy the usual Dyson-Schwinger equations. We also discuss other definitions which differ by exponentially small terms; in this case non perturbatice corrections appear in the Dyson-Schwinger equations. The generalizations of such a construction to theories with matter is briefly discussed.

Original language	English
Pages (from-to)	537-542
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	247
Issue number	4
DOIs	https://doi.org/10.1016/0370-2693(90)91897-K
State	Published - 20 Sep 1990
Externally published	Yes

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Cite this

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title = "A non perturbative definition of 2D quantum gravity",

abstract = "We propose a non perturbative definition of two-dimensional quantum gravity. Our definition is based on stochastic quantization, and the well behaving operators of the theory satisfy the usual Dyson-Schwinger equations. We also discuss other definitions which differ by exponentially small terms; in this case non perturbatice corrections appear in the Dyson-Schwinger equations. The generalizations of such a construction to theories with matter is briefly discussed.",

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T1 - A non perturbative definition of 2D quantum gravity

AU - Marinari, Enzo

AU - Parisi, Giorgio

PY - 1990/9/20

Y1 - 1990/9/20

N2 - We propose a non perturbative definition of two-dimensional quantum gravity. Our definition is based on stochastic quantization, and the well behaving operators of the theory satisfy the usual Dyson-Schwinger equations. We also discuss other definitions which differ by exponentially small terms; in this case non perturbatice corrections appear in the Dyson-Schwinger equations. The generalizations of such a construction to theories with matter is briefly discussed.

AB - We propose a non perturbative definition of two-dimensional quantum gravity. Our definition is based on stochastic quantization, and the well behaving operators of the theory satisfy the usual Dyson-Schwinger equations. We also discuss other definitions which differ by exponentially small terms; in this case non perturbatice corrections appear in the Dyson-Schwinger equations. The generalizations of such a construction to theories with matter is briefly discussed.

UR - https://www.scopus.com/pages/publications/0041870485

U2 - 10.1016/0370-2693(90)91897-K

DO - 10.1016/0370-2693(90)91897-K

M3 - 文章

AN - SCOPUS:0041870485

SN - 0370-2693

VL - 247

SP - 537

EP - 542

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4

ER -

A non perturbative definition of 2D quantum gravity

Abstract

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