Numerical study of field theories coupled to 2D quantum gravity

S. M. Catterall; J. B. Kogut; R. L. Renken

doi:10.1016/S0920-5632(05)80008-8

Numerical study of field theories coupled to 2D quantum gravity

S. M. Catterall, J. B. Kogut, R. L. Renken

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4 Scopus citations

Abstract

We study the scaling properties of models which, being formulated on dynamical lattices, include a coupling to afluctuating metric. The first of these deals with a set of bosonic fields whose action may be written in terms of an extrinsic curvature. We present evidence for a 'crumpling' transition, estimate certain critical exponents and discuss possible condinuum limits. The second study concerns fermionic fields, represent here as Ising spins. A careful finite size scaling study is performed yielding exponents in agreement with analytical predictions. We further study the equation of state and the intrinsic spin-spin correlation function.

Original language	English (US)
Pages (from-to)	69-86
Number of pages	18
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	25
Issue number	PART 1
DOIs	https://doi.org/10.1016/S0920-5632(05)80008-8
State	Published - Jan 1992
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/S0920-5632(05)80008-8

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abstract = "We study the scaling properties of models which, being formulated on dynamical lattices, include a coupling to afluctuating metric. The first of these deals with a set of bosonic fields whose action may be written in terms of an extrinsic curvature. We present evidence for a 'crumpling' transition, estimate certain critical exponents and discuss possible condinuum limits. The second study concerns fermionic fields, represent here as Ising spins. A careful finite size scaling study is performed yielding exponents in agreement with analytical predictions. We further study the equation of state and the intrinsic spin-spin correlation function.",

author = "Catterall, {S. M.} and Kogut, {J. B.} and Renken, {R. L.}",

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T1 - Numerical study of field theories coupled to 2D quantum gravity

AU - Catterall, S. M.

AU - Kogut, J. B.

AU - Renken, R. L.

PY - 1992/1

Y1 - 1992/1

N2 - We study the scaling properties of models which, being formulated on dynamical lattices, include a coupling to afluctuating metric. The first of these deals with a set of bosonic fields whose action may be written in terms of an extrinsic curvature. We present evidence for a 'crumpling' transition, estimate certain critical exponents and discuss possible condinuum limits. The second study concerns fermionic fields, represent here as Ising spins. A careful finite size scaling study is performed yielding exponents in agreement with analytical predictions. We further study the equation of state and the intrinsic spin-spin correlation function.

AB - We study the scaling properties of models which, being formulated on dynamical lattices, include a coupling to afluctuating metric. The first of these deals with a set of bosonic fields whose action may be written in terms of an extrinsic curvature. We present evidence for a 'crumpling' transition, estimate certain critical exponents and discuss possible condinuum limits. The second study concerns fermionic fields, represent here as Ising spins. A careful finite size scaling study is performed yielding exponents in agreement with analytical predictions. We further study the equation of state and the intrinsic spin-spin correlation function.

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VL - 25

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EP - 86

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

IS - PART 1

ER -

Numerical study of field theories coupled to 2D quantum gravity

Abstract

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