Universality in two-dimensional quantum gravity

Orlando Alvarez, Paul Windey

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We present a new definition of the continuum limit in the random triangulation formulation of two-dimensional quantum gravity. This method uses a diffusion equation describing random walks in the space of orthogonal polynomials as the defining equation of the theory. This leads to a simple proof for universality of any potential and a direct connection of the KdV hierarchy.

Original languageEnglish (US)
Pages (from-to)490-506
Number of pages17
JournalNuclear Physics B
Volume348
Issue number3
DOIs
StatePublished - Jan 21 1991
Externally publishedYes

Fingerprint

gravitation
triangulation
random walk
hierarchies
polynomials
continuums
formulations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Universality in two-dimensional quantum gravity. / Alvarez, Orlando; Windey, Paul.

In: Nuclear Physics B, Vol. 348, No. 3, 21.01.1991, p. 490-506.

Research output: Contribution to journalArticle

Alvarez, Orlando ; Windey, Paul. / Universality in two-dimensional quantum gravity. In: Nuclear Physics B. 1991 ; Vol. 348, No. 3. pp. 490-506.
@article{fdeea69e39f341399ffeda002dfd824a,
title = "Universality in two-dimensional quantum gravity",
abstract = "We present a new definition of the continuum limit in the random triangulation formulation of two-dimensional quantum gravity. This method uses a diffusion equation describing random walks in the space of orthogonal polynomials as the defining equation of the theory. This leads to a simple proof for universality of any potential and a direct connection of the KdV hierarchy.",
author = "Orlando Alvarez and Paul Windey",
year = "1991",
month = "1",
day = "21",
doi = "10.1016/0550-3213(91)90201-8",
language = "English (US)",
volume = "348",
pages = "490--506",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Universality in two-dimensional quantum gravity

AU - Alvarez, Orlando

AU - Windey, Paul

PY - 1991/1/21

Y1 - 1991/1/21

N2 - We present a new definition of the continuum limit in the random triangulation formulation of two-dimensional quantum gravity. This method uses a diffusion equation describing random walks in the space of orthogonal polynomials as the defining equation of the theory. This leads to a simple proof for universality of any potential and a direct connection of the KdV hierarchy.

AB - We present a new definition of the continuum limit in the random triangulation formulation of two-dimensional quantum gravity. This method uses a diffusion equation describing random walks in the space of orthogonal polynomials as the defining equation of the theory. This leads to a simple proof for universality of any potential and a direct connection of the KdV hierarchy.

UR - http://www.scopus.com/inward/record.url?scp=1542458239&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1542458239&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(91)90201-8

DO - 10.1016/0550-3213(91)90201-8

M3 - Article

AN - SCOPUS:1542458239

VL - 348

SP - 490

EP - 506

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -