Central charges of the 6- and 19-vertex models with twisted boundary conditions

Klümper, Andreas; Batchelor, Murray T.; Pearce, Paul A.

doi:10.1088/0305-4470/24/13/025

Cited by 228 publications

(363 citation statements)

References 37 publications

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“…Since the Z 4 parafermion theory is described by a free boson compactified on the S 1 /Z 2 orbifold with r PF = 2/3 [25], the continuum limit of the XXZ 1/2 model with α PF = 2 3 π gives the Z 4 parafermions. In terms of the XXZ 1/2 model, the chemical potential µ = e iφ in the TBA equations is understood as the twist parameter of the boundary conditions [26][27][28],…”

Section: Free Energy Around Cft Pointmentioning

confidence: 99%

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: Free Energy Around Cft Pointmentioning

confidence: 99%

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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“…c n = (−1) nc n , (4.21) 22) wherec n denotes the expansion coefficients obtained using the massive NLIE. Tables 3 and 4 .…”

Section: Perturbation Theorymentioning

confidence: 99%

“…The previously-studied sequence (1.1), (1.2) is picked out by the monotonicity of the function c eff as a function of r. In all other cases, somewhat to our surprise, we found that the effective central charge undergoes a number of oscillations as it interpolates between its short and long distance limits. Our approach differs from the TBA method, and is much closer to that of the papers [20][21][22][23][24][25][26], in that a single nonlinear integral equation (NLIE) is proposed to describe infinitely-many different perturbed conformal field theories, each being picked out by an appropriate choice of certain parameters. For massless flows, the one previous example of such an equation was found by Al.…”

Section: Introductionmentioning

confidence: 99%

New families of flows between two-dimensional conformal field theories

2000

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We present evidence for the existence of infinitely-many new families of renormalisation group flows between the nonunitary minimal models of conformal field theory. These are associated with perturbations by the φ 21 and φ 15 operators, and generalise a family of flows discovered by Martins. In all of the new flows, the finitevolume effective central charge is a non-monotonic function of the system size. The evolution of this effective central charge is studied by means of a nonlinear integral equation, a massless variant of an equation recently found to describe certain massive perturbations of these same models. We also observe that a similar nonmonotonicity arises in the more familiar φ 13 perturbations, when the flows induced are between nonunitary minimal models.

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“…The derivation of functional equations for the eigenvalues of certain mutually commuting transfer matrices is one of the most powerful method to attack the excited state problem in integrable quantum field theories [11,14]. Knowing the analytic properties of these eigenvalues the functional equations can be transformed into integral equations [15] which generalize the standard ground state TBA equations to excited states. This has been worked out for some simple perturbed conformal field theories directly in the continuum [11] or starting from the integrable lattice regularization of the model [14].…”

Section: Introductionmentioning

confidence: 99%

TBA equations for the mass gap in the non-linear σ-models

Balog

Hegedűs

2005

Nuclear Physics B

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We propose TBA integral equations for 1-particle states in the O(n) nonlinear σ-model for even n. The equations are conjectured on the basis of the analytic properties of the large volume asymptotics of the problem, which is explicitly constructed starting from Lüscher's asymptotic formula. For small volumes the mass gap values computed numerically from the TBA equations agree very well with results of three-loop perturbation theory calculations, providing support for the validity of the proposed TBA system.

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Central charges of the 6- and 19-vertex models with twisted boundary conditions

Cited by 228 publications

References 37 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

New families of flows between two-dimensional conformal field theories

TBA equations for the mass gap in the non-linear σ-models

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