Three-dimensional quantum gravity coupled to Ising matter

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

doi:10.1016/0550-3213(93)90355-S

Three-dimensional quantum gravity coupled to Ising matter

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

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

10 Scopus citations

Abstract

We establish the phase diagram of three-dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of the quantum gravity there is no disordered phase for ferromagnetic Ising matter because the coordination number of the sites diverges. In the positive curvature phase of the quantum gravity there is evidence for two spin phases with a first-order transition between them.

Original language	English (US)
Pages (from-to)	601-610
Number of pages	10
Journal	Nuclear Physics, Section B
Volume	389
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(93)90355-S
State	Published - Jan 18 1993
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(93)90355-S

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@article{b7db813726e4467483400654e556ddea,

title = "Three-dimensional quantum gravity coupled to Ising matter",

abstract = "We establish the phase diagram of three-dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of the quantum gravity there is no disordered phase for ferromagnetic Ising matter because the coordination number of the sites diverges. In the positive curvature phase of the quantum gravity there is evidence for two spin phases with a first-order transition between them.",

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

note = "Funding Information: This work was supported, in part, by NSF grant PHY 92-00148. Some calculations were performed on the Florida State University Cray Y-MP and at the National Center for Supercomputer Applications in Illinois. Also, we acknowledge National Science Foundation Support through the Materials Research Laboratory at the University of Illinois, grant NSF-DMR-20538.",

year = "1993",

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doi = "10.1016/0550-3213(93)90355-S",

language = "English (US)",

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journal = "Nuclear Physics, Section B",

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T1 - Three-dimensional quantum gravity coupled to Ising matter

AU - Renken, Ray L.

AU - Catterall, Simon M.

AU - Kogut, John B.

N1 - Funding Information: This work was supported, in part, by NSF grant PHY 92-00148. Some calculations were performed on the Florida State University Cray Y-MP and at the National Center for Supercomputer Applications in Illinois. Also, we acknowledge National Science Foundation Support through the Materials Research Laboratory at the University of Illinois, grant NSF-DMR-20538.

PY - 1993/1/18

Y1 - 1993/1/18

N2 - We establish the phase diagram of three-dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of the quantum gravity there is no disordered phase for ferromagnetic Ising matter because the coordination number of the sites diverges. In the positive curvature phase of the quantum gravity there is evidence for two spin phases with a first-order transition between them.

AB - We establish the phase diagram of three-dimensional quantum gravity coupled to Ising matter. We find that in the negative curvature phase of the quantum gravity there is no disordered phase for ferromagnetic Ising matter because the coordination number of the sites diverges. In the positive curvature phase of the quantum gravity there is evidence for two spin phases with a first-order transition between them.

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U2 - 10.1016/0550-3213(93)90355-S

DO - 10.1016/0550-3213(93)90355-S

M3 - Article

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VL - 389

SP - 601

EP - 610

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Three-dimensional quantum gravity coupled to Ising matter

Abstract

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