Journal ArticleDOI
Positivity constraints for anomalous dimensions
Otto Nachtmann,Otto Nachtmann +1 more
TLDR
Wilson's operator product expansion is examined in this article, where it is shown how to project on operators of definite spin at finite Q2 consistency conditions for anomalous dimensions following from positivity using the moment problem.About:
This article is published in Nuclear Physics.The article was published on 1973-10-22. It has received 409 citations till now. The article focuses on the topics: Operator product expansion & Moment problem.read more
Citations
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Book
Foundations of Perturbative QCD
TL;DR: In this article, a systematic treatment of perturbative QCD is given, giving an accurate account of the concepts, theorems and their justification, giving strong motivations for the methods.
Journal ArticleDOI
Solving the 3D Ising Model with the Conformal Bootstrap
Sheer El-Showk,Miguel F. Paulos,David Poland,Slava Rychkov,David Simmons-Duffin,Alessandro Vichi +5 more
TL;DR: In this article, the constraints of crossing symmetry and unitarity in general 3D conformal field theories were studied, and it was shown that the 3D Ising model lies at a corner point on the boundary of the allowed parameter space.
Journal ArticleDOI
Unraveling hadron structure with generalized parton distributions
TL;DR: The generalized parton distribution (GPD) as discussed by the authors was introduced as a universal tool to describe hadrons in terms of quark and gluonic degrees of freedom, and has been used for a long time in studies of hadronic structure.
Journal ArticleDOI
The analytic bootstrap and AdS superhorizon locality
TL;DR: In this article, it was shown that every CFT with a scalar operator ϕ must contain infinite sequences of operators with twist approaching τ → 2Δ + 2n for each integer n as l → ∞.
Journal ArticleDOI
Convexity and Liberation at Large Spin
TL;DR: In this article, the authors investigated the dimensions of unitary higher-dimensional conformal field theories (CFTs) via the crossing equations in the light-cone limit and found that CFTs become free at large spin and 1/s is a weak coupling parameter.
References
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MonographDOI
The problem of moments
J. Shohat,J. D. Tamarkin +1 more
TL;DR: Later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed in this paper, with a chapter devoted to approximate quadrature formulas.
Journal ArticleDOI
Non-Lagrangian Models of Current Algebra
TL;DR: In this article, an alternative to specific Lagrangian models of current algebra is proposed, in which scale invariance is a broken symmetry of strong interactions, as proposed by Kastrup and Mack.
Journal ArticleDOI
Asymptotic Sum Rules at Infinite Momentum
TL;DR: In this paper, the authors show that the infinite-momentum limit for these commutators does not diverge, but may vanish, if the limit is nonvanishing.
Journal ArticleDOI
High-Energy Inelastic e-p Scattering at 6° and 10°
Elliott D. Bloom,D.H. Coward,DeStaebler Hc,J. Drees,Gerald A. Miller,Luke W. Mo,Richard E. Taylor,Martin Breidenbach,J.I. Friedman,G. C. Hartmann,Henry W. Kendall +10 more
TL;DR: In this article, the inelastic scattering of electrons from hydrogen was measured for incident energies from 7 to 17 GeV at scattering angles of 6\ifmmode^\circ\else\textdegree\fi{} to 10\ifmode^''circ\circ/else \textdegree'' fi{} covering a range of squared four-momentum transfers up to 7.4
Journal ArticleDOI
Scaling, duality, and the behavior of resonances in inelastic electron-- proton scattering.
TL;DR: In this article, a substantial part of the observed behavior of inelastic electron-proton scattering is due to a non-fractured component of virtual photon proton scattering.