The XY model on a dynamical random lattice

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

doi:10.1016/0550-3213(93)90374-X

The XY model on a dynamical random lattice

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

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

4 Scopus citations

Abstract

We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to two-dimensional quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two-phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.

Original language	English (US)
Pages (from-to)	427-444
Number of pages	18
Journal	Nuclear Physics, Section B
Volume	408
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(93)90374-X
State	Published - Nov 15 1993
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(93)90374-X

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title = "The XY model on a dynamical random lattice",

abstract = "We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to two-dimensional quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two-phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.",

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

note = "Funding Information: This work was supported, in part, by NSF grant PHY 92-00148 and some of the numerical calculations were performed using the Florida State University CRAY YMP. We acknowledge fruitful discussions with Ian Drummond and Sumit Das.",

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AU - Catterall, Simon M.

AU - Kogut, John B.

AU - Renken, Ray L.

N1 - Funding Information: This work was supported, in part, by NSF grant PHY 92-00148 and some of the numerical calculations were performed using the Florida State University CRAY YMP. We acknowledge fruitful discussions with Ian Drummond and Sumit Das.

PY - 1993/11/15

Y1 - 1993/11/15

N2 - We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to two-dimensional quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two-phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.

AB - We study the XY model on a lattice with fluctuating connectivity. The expectation is that at an appropriate critical point such a system corresponds to a compactified boson coupled to two-dimensional quantum gravity. Our simulations focus, in particular, on the important topological features of the system. The results lend strong support to the two-phase structure predicted on the basis of analytical calculations. A careful finite-size scaling analysis yields estimates for the scaling exponents in the low-temperature phase.

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JO - Nuclear Physics, Section B

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IS - 3

ER -

The XY model on a dynamical random lattice

Abstract

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