English
Related papers

Related papers: New Integrable Structures in Large-N QCD

200 papers

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is…

High Energy Physics - Phenomenology · Physics 2018-06-27 Luca Vecchi

The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes for the first time at two loops. Using color generator…

High Energy Physics - Phenomenology · Physics 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

Anomalous superconformal Ward identities and commutator algebra in N = 1 super-Yang-Mills theory give rise to constraints between the QCD special conformal anomalies of conformal composite operators. We evaluate the superconformal anomalies…

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

We revive the idea of using physical anomalous dimensions in the QCD scale evolution of deep-inelastic structure functions and their scaling violations and present a detailed phenomenological study of its applicability. Differences with…

High Energy Physics - Phenomenology · Physics 2013-11-13 Martin Hentschinski , Marco Stratmann

We study the the high spin expansion of the anomalous dimension for long operators belonging to the $sl(2)$ sector of ${\cal N}=4$ SYM. Keeping the ratio $j$ between the twist and the logarithm of the spin fixed, the anomalous dimensions…

High Energy Physics - Theory · Physics 2009-10-02 Davide Fioravanti , Gabriele Infusino , Marco Rossi

We use analytic conformal bootstrap methods to determine the anomalous dimensions and OPE coefficients for large spin operators in general conformal field theories in four dimensions containing a scalar operator of conformal dimension…

High Energy Physics - Theory · Physics 2016-01-20 Apratim Kaviraj , Kallol Sen , Aninda Sinha

We discuss anomalous dimensions of top-partner candidates in theories of Partial Compositeness. First, we revisit, confirm and extend the computation by DeGrand and Shamir of anomalous dimensions of fermionic trilinears. We present general…

High Energy Physics - Phenomenology · Physics 2019-09-04 Diogo Buarque Franzosi , Gabriele Ferretti

We study the strong coupling expansion of large $N$ QCD in various dimensions, reformulating the Kogut-Susskind Hamiltonian on a square lattice in terms of (constrained) one dimensional spin chain models. We study the integrability…

High Energy Physics - Theory · Physics 2026-03-06 David Berenstein , Hiroki Kawai

The most general QCD-NLO Anomalous-Dimension Matrix of all four-fermion dimension six Delta F=2 operators is presented. Two applications of this Anomalous-Dimension Matrix to the study of SUSY contribution to K- Kbar mixing are also…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ignazio Scimemi

The Gross-Neveu model defines a unitary CFT of interacting fermions in $2<d<4$ which has perturbative descriptions in the $1/N$ expansion and in the epsilon-expansion near two and four dimensions. In each of these descriptions, the CFT has…

High Energy Physics - Theory · Physics 2017-09-18 S. Giombi , V. Kirilin , E. Skvortsov

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…

High Energy Physics - Theory · Physics 2019-12-24 Pinaki Banerjee , Parijat Dey

In this contribution it is shown how closed formulas for anomalous dimensions of two classes of operators in N=4 SYM can be derived, either by investigating the numerics or on the basis of QCD-inspired assumptions. We discuss the case of…

High Energy Physics - Theory · Physics 2009-12-10 Valentina Forini , Matteo Beccaria

In a {\cal N}=1 superspace setup and using dimensional regularization, we give a general and simple prescription to compute anomalous dimensions of composite operators in {\cal N}=4, SU(N) supersymmetric Yang-Mills theory, perturbatively in…

High Energy Physics - Theory · Physics 2009-11-07 Silvia Penati , Alberto Santambrogio

Models of strongly interacting theories with a large mass anomalous dimension ($\gamma_m$) provide an interesting possibility for the dynamical origin of the electroweak symmetry breaking. A laboratory for these models is QCD with many…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. Doff , A. A. Natale

A phenomenological Hamiltonian of a closed (i.e., unitary) quantum system is assumed to have an $N$ by $N$ real-matrix form composed of a unperturbed diagonal-matrix part $H^{(N)}_0$ and of a tridiagonal-matrix perturbation…

Mathematical Physics · Physics 2021-06-01 Miloslav Znojil

Monopole operators are studied in a large family of quantum critical points between Dirac and topological quantum spin liquids (QSLs): chiral and Z$_{2}$ QSLs. These quantum phase transitions are described by conformal field theories…

Strongly Correlated Electrons · Physics 2022-10-26 Éric Dupuis , Rufus Boyack , William Witczak-Krempa

We propose a new entry within the dictionary of the AdS/CFT duality at strong coupling: in the limit of a large spin or a large R-charge, the anomalous dimension of the gauge theory operator dual to a semiclassical rotating string is…

High Energy Physics - Theory · Physics 2015-06-19 Nelson R. F. Braga , Edmond Iancu

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on…

High Energy Physics - Theory · Physics 2009-12-17 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

Infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension matrix, which is also an essential ingredient for the resummation of large logarithms due to soft gluon emissions. We report a recent analytical…

High Energy Physics - Phenomenology · Physics 2010-12-13 A. Ferroglia , M. Neubert , B. D. Pecjak , L. L. Yang

The space of local operators in three-dimensional quantum electrodynamics contains monopole operators that create $n$ units of gauge flux emanating from the insertion point. This paper uses the state-operator correspondence to calculate the…

High Energy Physics - Theory · Physics 2014-03-19 Silviu S. Pufu