The spectral dimension of the branched polymer phase of two-dimensional quantum gravity

Thordur Jonsson; John F. Wheater

doi:10.1016/S0550-3213(98)00027-3

The spectral dimension of the branched polymer phase of two-dimensional quantum gravity

Thordur Jonsson^*, John F. Wheater

^*Corresponding author for this work

Faculty of Physical Sciences

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

44 Citations (Scopus)

Abstract

The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c > 1. We show analytically that the spectral dimension, d_s, of such a branched polymer phase is 4/3. This is in good agreement with numerical simulations for large c.

Original language	English
Pages (from-to)	549-574
Number of pages	26
Journal	Nuclear Physics B
Volume	515
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(98)00027-3
Publication status	Published - 6 Apr 1998

Bibliographical note

Funding Information:
T.J. would like to thank Bergfinnur Durhuus for many helpful discussions. This work was supported in part by PPARC visiting fellowship grant GR/K95086 and by EU grant ERBCHRX CT930343.

Other keywords

Branched polymer
Conformal matter
Quantum gravity
Spectral dimension

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10.1016/S0550-3213(98)00027-3

Cite this

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abstract = "The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c > 1. We show analytically that the spectral dimension, ds, of such a branched polymer phase is 4/3. This is in good agreement with numerical simulations for large c.",

keywords = "Branched polymer, Conformal matter, Quantum gravity, Spectral dimension",

author = "Thordur Jonsson and Wheater, {John F.}",

note = "Funding Information: T.J. would like to thank Bergfinnur Durhuus for many helpful discussions. This work was supported in part by PPARC visiting fellowship grant GR/K95086 and by EU grant ERBCHRX CT930343.",

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AU - Wheater, John F.

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PY - 1998/4/6

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N2 - The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c > 1. We show analytically that the spectral dimension, ds, of such a branched polymer phase is 4/3. This is in good agreement with numerical simulations for large c.

AB - The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c > 1. We show analytically that the spectral dimension, ds, of such a branched polymer phase is 4/3. This is in good agreement with numerical simulations for large c.

KW - Branched polymer

KW - Conformal matter

KW - Quantum gravity

KW - Spectral dimension

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DO - 10.1016/S0550-3213(98)00027-3

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The spectral dimension of the branched polymer phase of two-dimensional quantum gravity

Abstract

Bibliographical note

Other keywords

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