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The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\Delta \leq 1 and 1<\Delta. In particular, adjacent four-point correlation functions were given as certain…

统计力学 · 物理学 2008-11-26 Go Kato , Masahiro Shiroishi , Minoru Takahashi , Kazumitsu Sakai

The second neighbor correlation functions of the spin-${{1/2}}$ $XXZ$ chain in the ground state are expressed in the form of three dimensional integrals. We show that these integrals can be reduced to one-dimensional ones and thereby…

统计力学 · 物理学 2009-11-10 Minoru Takahashi , Go Kato , Masahiro Shiroishi

We prove an exact finite-volume symmetry formula for two-point functions in the periodic $N$-state superintegrable chiral Potts spin chain. We show that, for every chain length $L$ and every simultaneous eigenvector of the Hamiltonian and…

数学物理 · 物理学 2026-03-31 Haoran Zhu

Spin correlation functions (up to the 3-site one) of disordered Ising model with the nearest neighbour interaction are calculated and investigated within a two-site cluster approximation for both quenched and annealed cases. The approach…

凝聚态物理 · 物理学 2007-05-23 R. R. Levitskii , S. I. Sorokov

We develop a simple technique for calculation of next to nearest neighbor spin-spin and chiral-spin correlation functions in inhomogeneous XXX model. Exact expression of the chiral-spin order parameter as a function of the model parameter,…

强关联电子 · 物理学 2009-11-13 V. V. Mkhitaryan , A. G. Sedrakyan

The correlation functions of the spin-1/2 XXZ spin chain in the ground state are expressed in the form of the multiple integrals. For -1< Delta <1, they were obtained by Jimbo and Miwa in 1996. Especially the next nearest-neighbour…

统计力学 · 物理学 2010-05-11 Go Kato , Masahiro Shiroishi , Minoru Takahashi , Kazumitsu Sakai

This is the third in a series of papers in which we set up and discuss the functional relations for the ``split rapidity line'' correlation function in the N - state chiral Potts model. The order parameters of the model can be obtained from…

统计力学 · 物理学 2015-06-25 R. J. Baxter

We study the correlation functions of $SU(n)$ $n>2$ invariant spin chains in the thermodynamic limit. We formulate a consistent framework for the computation of short-range correlation functions via functional equations which hold even at…

数学物理 · 物理学 2019-01-30 G. A. P. Ribeiro , A. Klümper

We study the excitation spectrum and the correlation functions of the Z_3- chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We are mainly interested in results for general…

高能物理 - 理论 · 物理学 2009-10-28 A. Honecker , G. von Gehlen

Using CFT techniques, we compute the disorder-averaged p-th power of the spin-spin correlation function for the ferromagnetic random bonds Potts model. We thus generalize the calculation of Dotsenko, Dotsenko and Picco, where the case p=2…

无序系统与神经网络 · 物理学 2009-10-30 Marc-Andre Lewis

We build the Z$_{3}$ invariants fusion rules associated to the (D$_{4}$,A$_{6}$) conformal algebra. This algebra is known to describe the tri-critical Potts model. The 4-pt correlation functions of critical fields are developed in the…

高能物理 - 理论 · 物理学 2009-11-10 S. Balaska , K. Demmouche

We perform Monte Carlo simulations of 2-d dynamically triangulated surfaces coupled to Ising and three--states Potts model matter. By measuring spin-spin correlation functions as a function of the geodesic distance we provide substantial…

高能物理 - 格点 · 物理学 2009-10-28 J. Ambjorn , K. N. Anagnostopoulos , U. Magnea , G. Thorleifsson

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the…

高能物理 - 理论 · 物理学 2010-02-03 Radu Roiban , Anastasia Volovich

Under the assumption that the product of two spin operators decomposes uniquely into the degenerate conformal fields $\{\Phi_{n',n}\}$, the general expression for the correlation function of four spins is defined for the $q$ states Potts…

高能物理 - 理论 · 物理学 2020-03-18 Vladimir S. Dotsenko

In this letter we consider expectation values of local correlators in highly excited states of the spin-1/2 XXZ chain. Assuming that the string hypothesis holds we formulate the following conjecture: The correlation functions can be…

统计力学 · 物理学 2015-06-19 M. Mestyán , B. Pozsgay

We exploit the identification between the critical theory of the 3-state Potts model and the D_5 conformal model. This allows us to determine all 3-point correlations involving the fields associated with the Potts order parameter and the…

凝聚态物理 · 物理学 2007-05-23 John McCabe , Tomasz Wydro

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach of the perturbation series around…

凝聚态物理 · 物理学 2007-05-23 Vladimir Dotsenko , Marco Picco , Pierre Pujol

(Chern--Simons) vector models exhibit an infinite-dimensional symmetry, the slightly-broken higher-spin symmetry with the unbroken higher-spin symmetry being the first approximation. In this note, we compute the $n$-point correlation…

高能物理 - 理论 · 物理学 2023-04-25 Adrien Scalea

Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in $\mathcal{N}=4$ super Yang-Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are…

高能物理 - 理论 · 物理学 2008-11-26 Gordon W. Semenoff , Donovan Young

Using perturbative methods we derive new results for the spectrum and correlation functions of the general Z_3-chiral Potts quantum chain in the massive low-temperature phase. Explicit calculations of the ground state energy and the first…

高能物理 - 理论 · 物理学 2009-10-22 N. S. Han , A. Honecker
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