Numerical study of c > 1 matter coupled to quantum gravity

Simon M. Catterall; John B. Kogut; Ray L. Renken

doi:10.1016/0370-2693(92)91175-9

Numerical study of c > 1 matter coupled to quantum gravity

Simon M. Catterall, John B. Kogut, Ray L. Renken

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

44 Scopus citations

Abstract

We present the results of a numerical simulation aimed at understanding the nature of the "c = 1 barrier" in two-dimensional quantum gravity. We study multiple Ising models living on dynamical φ³ graphs and analyse the behaviour of moments of the graph loop distribution. We note a universality at work as the average properties of typical graphs from the ensemble are determined only by the central charge. We further argue that the qualitative nature of these results can be understood from considering the effect of fluctuations about a mean field solution in the Ising sector.

Original language	English (US)
Pages (from-to)	277-282
Number of pages	6
Journal	Physics Letters B
Volume	292
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)91175-9
State	Published - Oct 15 1992
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(92)91175-9

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title = "Numerical study of c > 1 matter coupled to quantum gravity",

abstract = "We present the results of a numerical simulation aimed at understanding the nature of the {"}c = 1 barrier{"} in two-dimensional quantum gravity. We study multiple Ising models living on dynamical φ3 graphs and analyse the behaviour of moments of the graph loop distribution. We note a universality at work as the average properties of typical graphs from the ensemble are determined only by the central charge. We further argue that the qualitative nature of these results can be understood from considering the effect of fluctuations about a mean field solution in the Ising sector.",

author = "Catterall, {Simon M.} and Kogut, {John B.} and Renken, {Ray L.}",

note = "Funding Information: This work was supportedi,n part, by NSF grant PHY 87-01775a ndthe numericacl alculationws ere performeuds ingt heFlorida StateU niversityC RAY YMP. Also, we acknowledgNea tionaSl cienceF oun-dationS upportth roughth eM aterialsR esearchLa b-oratorya t the Universityo f Illinois, Urbana-Champaign,g rantN SF-DMR-20538S. .M.C. would like to acknowledgefr uitful discussionsw ith Ian Drum-monda ndS umitD as.",

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doi = "10.1016/0370-2693(92)91175-9",

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T1 - Numerical study of c > 1 matter coupled to quantum gravity

AU - Catterall, Simon M.

AU - Kogut, John B.

AU - Renken, Ray L.

N1 - Funding Information: This work was supportedi,n part, by NSF grant PHY 87-01775a ndthe numericacl alculationws ere performeuds ingt heFlorida StateU niversityC RAY YMP. Also, we acknowledgNea tionaSl cienceF oun-dationS upportth roughth eM aterialsR esearchLa b-oratorya t the Universityo f Illinois, Urbana-Champaign,g rantN SF-DMR-20538S. .M.C. would like to acknowledgefr uitful discussionsw ith Ian Drum-monda ndS umitD as.

PY - 1992/10/15

Y1 - 1992/10/15

N2 - We present the results of a numerical simulation aimed at understanding the nature of the "c = 1 barrier" in two-dimensional quantum gravity. We study multiple Ising models living on dynamical φ3 graphs and analyse the behaviour of moments of the graph loop distribution. We note a universality at work as the average properties of typical graphs from the ensemble are determined only by the central charge. We further argue that the qualitative nature of these results can be understood from considering the effect of fluctuations about a mean field solution in the Ising sector.

AB - We present the results of a numerical simulation aimed at understanding the nature of the "c = 1 barrier" in two-dimensional quantum gravity. We study multiple Ising models living on dynamical φ3 graphs and analyse the behaviour of moments of the graph loop distribution. We note a universality at work as the average properties of typical graphs from the ensemble are determined only by the central charge. We further argue that the qualitative nature of these results can be understood from considering the effect of fluctuations about a mean field solution in the Ising sector.

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JF - Physics Letters B

IS - 3-4

ER -

Numerical study of c > 1 matter coupled to quantum gravity

Abstract

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