Simulations of four dimensional simplicial quantum gravity

S. Catterall; J. Kogut; R. Renken

doi:10.1016/0920-5632(94)90497-9

Simulations of four dimensional simplicial quantum gravity

S. Catterall, J. Kogut, R. Renken

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

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Abstract

We present the results of a high statistics study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We observe two phases; in one phase we observe a logarithmic scaling of the mean linear extent with volume, whilst the other shows power law behaviour with exponent 1 2. We are able to estimate the infinite volume critical coupling and extract a finite size scaling exponent for the growth of the susceptibility peak.

Original language	English (US)
Pages (from-to)	733-735
Number of pages	3
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	34
Issue number	C
DOIs	https://doi.org/10.1016/0920-5632(94)90497-9
State	Published - Apr 1994
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/0920-5632(94)90497-9

Cite this

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title = "Simulations of four dimensional simplicial quantum gravity",

abstract = "We present the results of a high statistics study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We observe two phases; in one phase we observe a logarithmic scaling of the mean linear extent with volume, whilst the other shows power law behaviour with exponent 1 2. We are able to estimate the infinite volume critical coupling and extract a finite size scaling exponent for the growth of the susceptibility peak.",

author = "S. Catterall and J. Kogut and R. Renken",

year = "1994",

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doi = "10.1016/0920-5632(94)90497-9",

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AU - Renken, R.

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N2 - We present the results of a high statistics study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We observe two phases; in one phase we observe a logarithmic scaling of the mean linear extent with volume, whilst the other shows power law behaviour with exponent 1 2. We are able to estimate the infinite volume critical coupling and extract a finite size scaling exponent for the growth of the susceptibility peak.

AB - We present the results of a high statistics study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We observe two phases; in one phase we observe a logarithmic scaling of the mean linear extent with volume, whilst the other shows power law behaviour with exponent 1 2. We are able to estimate the infinite volume critical coupling and extract a finite size scaling exponent for the growth of the susceptibility peak.

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JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

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ER -

Simulations of four dimensional simplicial quantum gravity

Abstract

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