Factorizable Z(N) models

Köberle, R.; Swieca, J.A.

doi:10.1016/0370-2693(79)90822-0

Cited by 124 publications

(144 citation statements)

References 11 publications

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“…In fact, the Y-system obtained here is identified with that [11] of Z N -symmetric integrable models [13][14][15] The cross-ratios of gluon momenta are given by special values of the Y-functions,…”

Section: Y-systemmentioning

confidence: 91%

“…Indeed, the integral kernels can be obtained as derivatives of logarithm of the S-matrix elements in the Z N model [13] with N = 4.…”

Section: Tba Equationsmentioning

confidence: 99%

“…The Stokes data obey certain functional equations and the minimal surface area is evaluated by solving the integral equations associated with them. For the 6-point gluon scattering amplitudes, the functional equations and the integral equations turn out to be the Y-system [11] and the thermodynamic Bethe ansatz (TBA) equations [12] of the Z 4 -symmetric (or A 3 ) integrable model [13][14][15], respectively. The minimal surface area is evaluated by the free energy of the model.…”

Section: Introductionmentioning

confidence: 99%

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Six-point gluon scattering amplitudes from $$ {\mathbb{Z}_4} $$ -symmetric integrable model

Hatsuda

Ito

Sakai

et al. 2010

J. High Energ. Phys.

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We study six-point gluon scattering amplitudes in N = 4 super Yang-Mills theory at strong coupling by investigating the thermodynamic Bethe ansatz equations of the underlying Z 4 -symmetric integrable model both analytically and numerically.By the conformal field theory (CFT) perturbation, we compute the free energy part of the remainder function with generic chemical potential near the CFT/small mass limit. Combining this with the expansion of the Y-functions, we obtain the remainder function near the small mass limit up to a function of the chemical potential, which can be evaluated numerically. We also find the leading corrections to the remainder function near the large mass limit. We confirm that these results are in good agreement with numerical computations.

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Section: Y-systemmentioning

confidence: 91%

“…Indeed, the integral kernels can be obtained as derivatives of logarithm of the S-matrix elements in the Z N model [13] with N = 4.…”

Section: Tba Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Six-point gluon scattering amplitudes from $$ {\mathbb{Z}_4} $$ -symmetric integrable model

Hatsuda

Ito

Sakai

et al. 2010

J. High Energ. Phys.

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“…is the S-matrix of the A k−1 minimal affine Toda field theory (ATFT) [38,39]. In the second factor, I rs = δ r,s+1 + δ r,s−1 is the incidence matrix of the Lie algebra su(N ), η r,s (= η −1 s,r ) are arbitrary k th roots of −1, and S F ab is given by…”

Section: Jhep02(2013)067mentioning

confidence: 99%

Null-polygonal minimal surfaces in AdS4 from perturbed W minimal models

Hatsuda¹,

Ito

Satoh

2013

J. High Energ. Phys.

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Abstract:We study the null-polygonal minimal surfaces in AdS 4 , which correspond to the gluon scattering amplitudes/Wilson loops in N = 4 super Yang-Mills theory at strong coupling. The area of the minimal surfaces with n cusps is characterized by the thermodynamic Bethe ansatz (TBA) integral equations or the Y-system of the homogeneous sine-Gordon model, which is regarded as the SU(n − 4) 4 /U(1) n−5 generalized parafermion theory perturbed by the weight-zero adjoint operators. Based on the relation to the TBA systems of the perturbed W minimal models, we solve the TBA equations by using the conformal perturbation theory, and obtain the analytic expansion of the remainder function around the UV/regular-polygonal limit for n = 6 and 7. We compare the rescaled remainder function for n = 6 with the two-loop one, to observe that they are close to each other similarly to the AdS 3 case.

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“…For the fundamental particle/antiparticle, it is given by 'minimal' S matrices of the Z k symmetric model proposed for the first time in [22],…”

Section: Review Of Known Resultsmentioning

confidence: 99%

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Jimbo

Konno

Одаке

et al. 2001

Journal of Statistical Physics

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Abstract. The Wakimoto construction for the quantum affine algebra U q ( sl 2 ) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the Andrews-Baxter-Forrester models in regime II. We give multi-particle form factors of some local operators on the lattice and compute their scaling limit, where the models are described by a massive field theory with Z k symmetric minimal scattering matrices.math.QA/0001071

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Factorizable Z(N) models

Cited by 124 publications

References 11 publications

Six-point gluon scattering amplitudes from $$ {\mathbb{Z}_4} $$ -symmetric integrable model

Six-point gluon scattering amplitudes from $$ {\mathbb{Z}_4} $$ -symmetric integrable model

Null-polygonal minimal surfaces in AdS4 from perturbed W minimal models

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