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

- T. Wu, B. McCoy, C. Tracy, E. Barouch
- Physics
- 1976

Painlevé functions of the third kind

We explicitly construct the one‐parameter family of solutions, η (ϑ;ν,λ), that remain bounded as ϑ→∞ along the positive real ϑ axis for the Painleve equation of third kind w w′′= (w′)2−ϑ−1 w… Expand

Advanced statistical mechanics

- B. McCoy
- Physics
- 1 December 2009

1. Basic Principles 2. Reductionism, Phenomena and Models 3. Stability, Existence and Uniqueness 4. Theorems on Order 5. Critical Phenomena and Scaling Theory 6. Mayer Virial Expansions and… Expand

Continued fractions and fermionic representations for characters of M(p,p′) minimal models

- A. Berkovich, B. McCoy
- Mathematics
- 5 December 1994

We present fermionic sum representations of the characters χτ, s(p, p′) of the minimal M(p,p′) models for all relatively prime integers p′>p for some allowed values of r and s. Our starting point is… Expand

Two-dimensional Ising Field Theory in a Magnetic Field: Breakup of the Cut in the Two Point Function

We demonstrate that the cut which is present as the leading singularity in the two-point function of the Ising field theory for T < T/sub c/ and H not = 0 breaks up into a sequence of poles for H =… Expand

Bethe's Equation Is Incomplete for the XXZ Model at Roots of Unity

- K. Fabricius, B. McCoy
- Mathematics
- 19 September 2000

We demonstrate for the six vertex and XXZ model parameterized by Δ= −(q+q-1)/2≠±1 that when q2N=1 for integer N≥2 the Bethe's ansatz equations determine only the eigenvectors which are the highest… Expand

Statistical Mechanics of the XY Model. III

- E. Barouch, B. McCoy, M. Dresden
- Physics
- 1 September 1970

We continue the considerations of the first paper in this series by studying the time dependence of the spin-correlation functions in response to a step-function change in the external magnetic… Expand

New Developments in the Eight Vertex Model

- K. Fabricius, B. McCoy
- Mathematics
- 8 July 2002

We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the eight vertex model has some eigenvectors which are not eigenvectors of the spin reflection operator and conjecture a new… Expand

Evaluation Parameters and Bethe Roots for the Six-Vertex Model at Roots of Unity

- K. Fabricius, B. McCoy
- Mathematics
- 3 August 2001

We propose an expression for the current form of the lowering operator of the sl 2 loop algebra symmetry of the six-vertex model (XXZ spin chain) at roots of unity. This operator has poles which… Expand

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