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We probe the long-range spin chain approach to planar N=4 gauge theory at high loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for the SU(2) subsector of the state space up to three loops, but ceases…

高能物理 - 理论 · 物理学 2011-03-23 N. Beisert , V. Dippel , M. Staudacher

We present a set of long-range Bethe ansatz equations for open quantum strings on AdS_5 x S^5 and demonstrate that they diagonalize bosonic su(2) and sl(2) sectors of the theory in the near-pp-wave limit. Results are compared with energy…

高能物理 - 理论 · 物理学 2008-11-26 Tristan McLoughlin , Ian Swanson

We develop an integrability-based framework to compute structure constants of two sub-determinant operators and a single-trace non-BPS operator in ABJM theory in the planar limit. In this first paper, we study them at weak coupling using a…

高能物理 - 理论 · 物理学 2022-02-01 Peihe Yang , Yunfeng Jiang , Shota Komatsu , Jun-Bao Wu

We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used…

高能物理 - 唯象学 · 物理学 2020-12-02 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic Bethe…

高能物理 - 理论 · 物理学 2010-07-06 Nikolay Gromov , Fedor Levkovich-Maslyuk

We diagonalise the Hamiltonian of the Temperley-Lieb loop model with open boundaries using a coordinate Bethe Ansatz calculation. We find that in the groundstate sector of the loop Hamiltonian, but not in other sectors, a certain constraint…

高能物理 - 理论 · 物理学 2011-02-16 Jan de Gier , Pavel Pyatov

We propose and demonstrate a new use for conformal field theory (CFT) crossing equations in the context of AdS/CFT: the computation of loop amplitudes in AdS, dual to non-planar correlators in holographic CFTs. Loops in AdS are largely…

高能物理 - 理论 · 物理学 2019-12-20 Ofer Aharony , Luis F. Alday , Agnese Bissi , Eric Perlmutter

We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spin- spin…

数学物理 · 物理学 2009-09-25 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

We calculate the anomalous dimension of the cusped Wilson loop in ${\cal N}=4$ supersymmetric Yang-Mills theory to order $\lambda^2$ ($\lambda=g^2_{YM}N$). We show that the cancellation between the diagrams with the three-point vertex and…

高能物理 - 理论 · 物理学 2008-11-26 Yuri Makeenko , Poul Olesen , Gordon W. Semenoff

We write an integral equation that incorporates finite corrections to the large spin asymptotics of N=4 SYM twist operators from the non-linear integral equation. We show that these corrections are an all-loop result, not affected by…

高能物理 - 理论 · 物理学 2009-07-30 Lisa Freyhult , Stefan Zieme

We investigate constraints on couplings of Standard Model effective field theory (SMEFT) operators contributing to $Wtb$ effective vertex at tree level. We study the one-loop level impact of these couplings on the low-energy flavour…

高能物理 - 唯象学 · 物理学 2025-10-15 Subhajit Kala , Lipika Kolay , Lopamudra Mukherjee , Soumitra Nandi

We study logarithmic conformal field theory (LogCFT) in four dimensions using conformal bootstrap techniques in the large spin limit. We focus on the constraints imposed by conformal symmetry on the four point function of certain…

高能物理 - 理论 · 物理学 2019-12-24 Pinaki Banerjee , Parijat Dey

The spectrum of anomalous dimensions of gauge-invariant operators in maximally supersymmetric Yang-Mills theory is believed to be described by a long-range integrable spin chain model. We focus in this study on its $sl(2)$ subsector spanned…

高能物理 - 理论 · 物理学 2009-12-15 M. Beccaria , A. V. Belitsky , A. V. Kotikov , S. Zieme

In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these points. It was observed earlier that a certain quadratic…

高能物理 - 理论 · 物理学 2025-06-06 A. N. Manashov , S. Moch , L. A. Shumilov

We assess the accuracy of our previous Asymptotic Pad\'e predictions of the five-loop QCD $\beta$-function and quark mass anomalous dimension in the light of subsequent exact results. We find the low-order coefficients in an expansion in…

高能物理 - 唯象学 · 物理学 2026-04-10 J. A. Gracey , I. Jack , D. R. T. Jones

We analyze nested Bethe ansatz (NBA) and the corresponding finite size corrections. We find an integral equation which describes these corrections in a closed form. As an application we considered the conjectured Beisert-Staudacher (BS)…

高能物理 - 理论 · 物理学 2009-06-19 Nikolay Gromov , Pedro Vieira

We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the…

高能物理 - 理论 · 物理学 2025-03-26 B. A. Kniehl , V. N. Velizhanin

We demonstrate for the six vertex and XXZ model parameterized by $\Delta=-(q+q^{-1})/2\neq \pm 1$ that when q^{2N}=1 for integer $N\geq 2$ the Bethe's ansatz equations determine only the eigenvectors which are the highest weights of the…

统计力学 · 物理学 2011-07-19 Klaus Fabricius , Barry M. McCoy

Using the integrable spin chain picture we study the one-loop anomalous dimension of certain single trace scalar operators of N=4 SYM expected to correspond to semi-classical string states on AdS_5 x S^5 with three large angular momenta…

高能物理 - 理论 · 物理学 2016-09-06 C. Kristjansen

We developed an efficient numerical algorithm for computing the spectrum of anomalous dimensions of the planar ${\cal N}=4$ Super-Yang--Mills at finite coupling. The method is based on the Quantum Spectral Curve formalism. In contrast to…

高能物理 - 理论 · 物理学 2017-02-07 Nikolay Gromov , Fedor Levkovich-Maslyuk , Grigory Sizov