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We review the applications of the Quantum Spectral Curve (QSC) method to the Regge (BFKL) limit in N=4 supersymmetric Yang-Mills theory. QSC, based on quantum integrability of the AdS$_5$/CFT$_4$ duality, was initially developed as a tool…

高能物理 - 理论 · 物理学 2020-03-20 Mikhail Alfimov , Nikolay Gromov , Vladimir Kazakov

We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2,0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge…

高能物理 - 理论 · 物理学 2022-01-26 Madalena Lemos , Balt C. van Rees , Xiang Zhao

We study a family of higher-twist Regge trajectories in $\mathcal{N}=4$ supersymmetric Yang-Mills theory using the Quantum Spectral Curve. We explore the many-sheeted Riemann surface connecting the different trajectories and show the…

高能物理 - 理论 · 物理学 2025-03-07 Rob Klabbers , Michelangelo Preti , István M. Szécsényi

In this work, we derive a novel set of equations - the Asymptotic Baxter--Bethe Ansatz - that determine the asymptotic spectrum of Regge trajectories in the BFKL regime of N=4 SYM. In this challenging limit, our method yields multi-loop…

高能物理 - 理论 · 物理学 2025-07-23 Simon Ekhammar , Nikolay Gromov , Michelangelo Preti

We discuss the stringy properties of high-energy QCD using its hidden integrability in the Regge limit and on the light-cone. It is shown that multi-colour QCD in the Regge limit belongs to the same universality class as superconformal…

高能物理 - 理论 · 物理学 2014-11-18 A. Gorsky , I. I. Kogan , G. Korchemsky

It has recently been argued that the symmetric orbifold theory of T4 is dual to string theory on AdS3 x S3 x T4 at the tensionless point. At this point in moduli space, the theory possesses a very large symmetry algebra that includes, in…

高能物理 - 理论 · 物理学 2016-05-31 Matthias R. Gaberdiel , Cheng Peng , Ida G. Zadeh

We analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is dominated by spin-2 exchanges and we show how the crossing…

高能物理 - 理论 · 物理学 2018-01-17 Daliang Li , David Meltzer , David Poland

The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on $AdS_4 \times CP^3$, is accessible at finite coupling using integrability. Starting from the results of [arXiv:1403.1859], we study in…

高能物理 - 理论 · 物理学 2018-05-15 Diego Bombardelli , Andrea Cavaglià , Davide Fioravanti , Nikolay Gromov , Roberto Tateo

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave…

高能物理 - 理论 · 物理学 2018-07-24 Miguel S. Costa , Vasco Goncalves , Joao Penedones

We review the quantum spectral curve (QSC) formalism for anomalous dimensions of planar ${\cal\ N}=4$ SYM, including its $\gamma$-deformation. Leaving aside its derivation, we concentrate on formulation of the "final product" in its most…

高能物理 - 理论 · 物理学 2018-08-15 Vladimir Kazakov

We reanalyze the radial (n) and angular-momentum (J) Regge trajectories for all light-quark states with baryon number zero listed in the 2011 edition of the Particle Data Tables. The parameters of the trajectories are obtained with linear…

高能物理 - 唯象学 · 物理学 2013-05-30 Pere Masjuan , Enrique Ruiz Arriola , Wojciech Broniowski

Finding a systematic expansion of the spectrum of free superstrings on AdS${}_5\times $S${}^5$, or equivalently strongly coupled N = 4 SYM in the planar limit, remains an outstanding challenge. No first principle string theory methods are…

高能物理 - 理论 · 物理学 2024-06-07 Simon Ekhammar , Nikolay Gromov , Paul Ryan

We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N=4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the…

高能物理 - 理论 · 物理学 2010-04-08 Lorenzo Cornalba , Miguel S. Costa , Joao Penedones

We investigate the structure of the meson Regge trajectories based on the quadratic form of the spinless Salpeter-type equation. It is found that the forms of the Regge trajectories depend on the energy region. As the employed Regge…

高能物理 - 唯象学 · 物理学 2021-07-21 Jiao-Kai Chen

We give a derivation of quantum spectral curve (QSC) - a finite set of Riemann-Hilbert equations for exact spectrum of planar N=4 SYM theory proposed in our recent paper Phys.Rev.Lett. 112 (2014). We also generalize this construction to all…

高能物理 - 理论 · 物理学 2015-10-14 Nikolay Gromov , Vladimir Kazakov , Sebastien Leurent , Dmytro Volin

Every conformal field theory (CFT) above two dimensions contains an infinite set of Regge trajectories of local operators which, at large spin, asymptote to "double-twist" composites with vanishing anomalous dimension. In two dimensions,…

高能物理 - 理论 · 物理学 2019-06-26 Scott Collier , Yan Gobeil , Henry Maxfield , Eric Perlmutter

Recent research has indicated that meson and baryon Regge trajectories are nonlinear and that all current models are ruled out by data. Tang and Norbury have identified a number of properties for Regge trajectories: a test zone for…

高能物理 - 唯象学 · 物理学 2007-05-23 David Akers

The chiral symmetry of QCD shows up in the linear Weyl--Wigner mode at short Euclidean distances or at high temperatures. On the other hand, low-lying hadronic states exhibit the nonlinear Nambu--Goldstone mode. An interesting question was…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Shifman , A. Vainshtein

We propose a Quantum Spectral Curve for planar string theory on AdS3*S3*S3*S1 supported by pure Ramond-Ramond flux. Our proposal is built on symmetry considerations and integrability-based functional relations. To test our construction, we…

高能物理 - 理论 · 物理学 2025-11-14 Filipp Chernikov , Simon Ekhammar , Nikolay Gromov , Benjamin Smith

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit…

高能物理 - 理论 · 物理学 2011-07-19 I. Ya. Aref'eva
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