Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization

J. Ambjorn; J. Jurkiewicz; C. F. Kristjansen

doi:10.1016/0550-3213(93)90075-Z

Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization

J. Ambjorn, J. Jurkiewicz, C. F. Kristjansen

Theoretical high energy, astroparticle and gravitational physics

Abstract

We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the bare coupling constants is studied in the search for a sensible continuum limit. For small values of the coupling constant of the $R^2$ term the model seems to belong to the same universality class as the model with pure Einstein-Hilbert action and exhibits the same phase transition. The order of the transition may be second or higher. The average curvature is positive at the phase transition, which makes it difficult to understand the possible scaling relations of the model.

Original language	Undefined/Unknown
Journal	Nuclear Physics B
Volume	393
Issue number	3
Pages (from-to)	601-629
ISSN	0550-3213
DOIs	https://doi.org/10.1016/0550-3213(93)90075-Z
Publication status	Published - 12 Aug 1992

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10.1016/0550-3213(93)90075-Z

Cite this

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title = "Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization",

abstract = "We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the bare coupling constants is studied in the search for a sensible continuum limit. For small values of the coupling constant of the $R^2$ term the model seems to belong to the same universality class as the model with pure Einstein-Hilbert action and exhibits the same phase transition. The order of the transition may be second or higher. The average curvature is positive at the phase transition, which makes it difficult to understand the possible scaling relations of the model.",

keywords = "hep-th, hep-lat",

author = "J. Ambjorn and J. Jurkiewicz and Kristjansen, {C. F.}",

note = "27 pages (Latex), figures not included. Post script file containing 15 figures (1000 blocks) available from [email protected].",

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T1 - Quantum Gravity, Dynamical Triangulation and Higer Derivative Regularization

AU - Ambjorn, J.

AU - Jurkiewicz, J.

AU - Kristjansen, C. F.

N1 - 27 pages (Latex), figures not included. Post script file containing 15 figures (1000 blocks) available from [email protected].

PY - 1992/8/12

Y1 - 1992/8/12

N2 - We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the bare coupling constants is studied in the search for a sensible continuum limit. For small values of the coupling constant of the $R^2$ term the model seems to belong to the same universality class as the model with pure Einstein-Hilbert action and exhibits the same phase transition. The order of the transition may be second or higher. The average curvature is positive at the phase transition, which makes it difficult to understand the possible scaling relations of the model.

AB - We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the bare coupling constants is studied in the search for a sensible continuum limit. For small values of the coupling constant of the $R^2$ term the model seems to belong to the same universality class as the model with pure Einstein-Hilbert action and exhibits the same phase transition. The order of the transition may be second or higher. The average curvature is positive at the phase transition, which makes it difficult to understand the possible scaling relations of the model.

KW - hep-th

KW - hep-lat

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