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We develop Yang-Baxter integrability structures connected with the quantum affine superalgebra Uq(\hat sl(2|1)). Baxter's Q-operators are explicitly constructed as supertraces of certain monodromy matrices associated with (q-deformed)…

High Energy Physics - Theory · Physics 2009-01-23 Vladimir V. Bazhanov , Zengo Tsuboi

The $F_{2}$ structure functions of the inelastic lepton-hadron scattering is calculated in the case of non-zero intermediate gluon-quarks self-energy $M_{gq}^{2}$ and quasielastic limit. It is shown that in the quasielastic limit the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ya. D. Krivenko-Emetov

We unravel the structure of the spectrum of the anomalous dimensions of the quark-gluon twist-3 operators which are responsible for the multiparton correlations in hadrons and enter as a leading contribution to several physical cross…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky

Motivated by the challenge of seeking a rigorous foundation for the bulk-boundary correspondence for free fermions, we introduce an algorithm for determining exactly the spectrum and a generalized-eigenvector basis of a class of banded…

Quantum Physics · Physics 2017-04-27 Emilio Cobanera , Abhijeet Alase , Gerardo Ortiz , Lorenza Viola

We implement the quantum inverse scattering method for the 4-vertex model. In comparison to previous works of the author which examined the 6-vertex, and 20-vertex, models, the 4-vertex model exhibits different characteristics, ranging from…

Mathematical Physics · Physics 2025-06-27 Pete Rigas

The spectral problem for the ${\rm AdS}_5\times {\rm S}^5$ superstring and its dual planar maximally supersymmetric Yang-Mills theory can be efficiently solved through a set of functional equations known as the quantum spectral curve. We…

High Energy Physics - Theory · Physics 2018-03-14 Rob Klabbers , Stijn J. van Tongeren

We extend the study of integrable structures and analyticity of the spectrum in large $N_c$ QCD$_2$ to a broad class of theories called the generalized QCD, which are given by the Lagrangian $\mathcal{L}\propto {\rm tr}\,B\wedge F- {\rm…

High Energy Physics - Theory · Physics 2024-12-18 Federico Ambrosino , Shota Komatsu

We present the next-to-next-to-next-to-leading order (N^3LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation functions in perturbative QCD. The exact expressions are derived for the terms…

High Energy Physics - Phenomenology · Physics 2017-10-25 S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren , A. Vogt

For massless quenched QED in three dimensions, we evaluate a non-perturbative expression for the fermion propagator which agrees with its two loop perturbative expansion in the weak coupling regime. This calculation is carried out by making…

High Energy Physics - Theory · Physics 2009-10-31 A. Bashir

Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two loop corrections…

High Energy Physics - Theory · Physics 2013-11-27 Nikolay Gromov , Pedro Vieira

We develop a symplectic method of quantization of lightcone QCD. We find that boundary gauge fields are crucial for a consistent and complete quantization. By applying the symplectic Faddeev-Jackiw method, we very carefully remove…

High Energy Physics - Phenomenology · Physics 2010-04-14 Alexey V. Popov

In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional lattice, related to those studied previously in [Sasamoto-Wadati], [Barraquand-Corwin] and [Povolotsky] in the context of KPZ universality…

Mathematical Physics · Physics 2024-05-31 Rouven Frassek , Cristian Giardinà , Jorge Kurchan

The quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions is studied. Our main objective is to construct an effective quantum theory that results in a genuine perturbation of QED, such that…

High Energy Physics - Phenomenology · Physics 2009-08-07 C. M. Reyes , L. F. Urrutia , J. D. Vergara

The partition functions of QCD2 on simple surfaces admit representations in terms of exponentials of the inverse coupling, that are modular transforms of the usual character expansions. We review the construction of such a representation in…

High Energy Physics - Theory · Physics 2007-05-23 M. Caselle , A. D'Adda , L. Magnea , S. Panzeri

We extend to regular QCD the derivation of a confining $ q \bar{q}$ Bethe--Salpeter equation previously given for the simplest model of scalar QCD in which quarks are treated as spinless particles. We start from the same assumptions on the…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. Brambilla , E. Montaldi , G. M. Prosperi

We construct an exact solution to the planar QCD loop equation in four-dimensional Euclidean space using a novel matrix-valued momentum loop formalism. Central to this construction is a new loop calculus, in which functional derivatives act…

High Energy Physics - Theory · Physics 2025-08-19 Alexander Migdal

In this article, we calculate the scalar form-factor of the proton in the framework of the light-cone QCD sum rules approach with the three valence quark light-cone distribution amplitudes up to twist-6, and observe the scalar form-factor…

High Energy Physics - Phenomenology · Physics 2009-11-11 Zhi-Gang Wang , Shao-Long Wan , Wei-Min Yang

We consider critical dense polymers ${\cal L}_{1,2}$, corresponding to a logarithmic conformal field theory with central charge $c=-2$. An elegant decomposition of the Baxter $Q$ operator is obtained in terms of a finite number of lattice…

High Energy Physics - Theory · Physics 2015-05-13 Alessandro Nigro

We investigate the pseudospectrum of the Kerr black hole, which indicates the instability of the spectrum of quasinormal modes (QNMs) of the Kerr black hole. Methodologically, we use the hyperboloidal framework to cast the QNM problem into…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Rong-Gen Cai , Li-Ming Cao , Jia-Ning Chen , Zong-Kuan Guo , Liang-Bi Wu , Yu-Sen Zhou

We consider the exact S-matrix governing the planar spectral problem for strings on $AdS_5\times S^5$ and $\mathcal N=4$ super Yang-Mills, and we show that it is invariant under a novel "boost" symmetry, which acts as a differentiation with…

High Energy Physics - Theory · Physics 2018-03-14 Riccardo Borsato , Alessandro Torrielli