Nonlinear Partial Difference Equations for the Two-dimensional Ising Model - INSPIRE

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Nonlinear Partial Difference Equations for the Two-dimensional Ising Model

Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Tai Tsun Wu
(
- Harvard U.
)

May, 1980

8 pages

Published in:

Phys.Rev.Lett. 45 (1980) 675-678

DOI:

10.1103/PhysRevLett.45.675

Report number:

ITP-SB-80-26

View in:

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Abstract: (APS)

The two-point function of the two-dimensional Ising model at arbitrary temperature is expressed in terms of the solution of a nonlinear partial difference equation. From this difference equation the known results for the two-point function of the Ising field theory may be regained as a special case.

FIELD THEORY: TWO-DIMENSIONAL
STATISTICAL MECHANICS: ISING
SPIN: CORRELATION FUNCTION
CORRELATION FUNCTION: SPIN
MATHEMATICAL METHODS

References(10)

Figures(0)

Spin spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region

Tai Tsun Wu
(
- Harvard U.
)
,
Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Craig A. Tracy
(
- Rochester U.
)
,
Eytan Barouch
(
- Clarkson U.
)

- Phys.Rev.B 13 (1976) 316-374
•
DOI:
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Two-Dimensional Ising Model as an Exactly Solvable Relativistic Quantum Field Theory: Explicit Formulas for n Point Functions

Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Craig A. Tracy
(
- SUNY, Stony Brook
)
,
Tai Tsun Wu
(
- Harvard U.
)

- Phys.Rev.Lett. 38 (1977) 793-796
•
DOI:
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Zero-Field Susceptibility of the Two-Dimensional Ising Model near Tc

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•
DOI:
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Neutron Scattering and the Correlation Functions of the Ising Model near Tc

Craig A. Tracy
(
- Rochester U.
)
,
Barry M. McCoy
(
- Harvard U.
)

- Phys.Rev.Lett. 31 (1973) 1500-1504
•
DOI:
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Painleve Functions of the Third Kind

Barry M. McCoy
(
- SUNY, Stony Brook
)
,
Craig A. Tracy
(
- SUNY, Stony Brook
)
,
Tai Tsun Wu
(
- Harvard U.
)

- J.Math.Phys. 18 (1977) 1058
•
DOI:
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- Proc.Japan Acad.A 53 153

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Crystal statistics. 1. A Two-dimensional model with an order disorder transition

Lars Onsager
(
- Yale U.
)

- Phys.Rev. 65 (1944) 117-149
•
DOI:
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The Spontaneous Magnetization of a Two-Dimensional Ising Model

C.N. Yang
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 85 (1952) 808-816,
•
DOI:
- 10.1103/PhysRev.85.808