Monte Carlo renormalization of 2d simplicial quantum gravity coupled to Gaussian matter

E. B. Gregory; S. M. Catterall; G. Thorleifsson

doi:10.1016/S0550-3213(98)00771-8

Monte Carlo renormalization of 2d simplicial quantum gravity coupled to Gaussian matter

E. B. Gregory, S. M. Catterall, G. Thorleifsson

Department of Physics

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

Abstract

We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for CM = 1 and CM = 10 theories.

Original language	English (US)
Pages (from-to)	289-304
Number of pages	16
Journal	Nuclear Physics B
Volume	541
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(98)00771-8
State	Published - Feb 22 1999

Keywords

Gaussian fields
Monte Carlo renormalization
Quantum gravity
Simplicial

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(98)00771-8

Cite this

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abstract = "We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for CM = 1 and CM = 10 theories.",

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author = "Gregory, {E. B.} and Catterall, {S. M.} and G. Thorleifsson",

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AU - Gregory, E. B.

AU - Catterall, S. M.

AU - Thorleifsson, G.

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Y1 - 1999/2/22

N2 - We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for CM = 1 and CM = 10 theories.

AB - We extend a recently proposed real-space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulations in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for CM = 1 and CM = 10 theories.

KW - Gaussian fields

KW - Monte Carlo renormalization

KW - Quantum gravity

KW - Simplicial

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Monte Carlo renormalization of 2d simplicial quantum gravity coupled to Gaussian matter

Abstract

Keywords

ASJC Scopus subject areas

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