The Conformal Template and New Perspectives for Quantum Chromodynamics

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Conformal symmetry provides a systematic approximation to QCD in both its perturbative and nonperturbative domains. One can use the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories to obtain an analytically tractable approximation to QCD in the regime where the QCD coupling is large and constant. For example, there is an exact correspondence between the fifth-dimensional coordinate of AdS space and a specific impact variable which measures the separation of the quark constituents within the hadron in ordinary space-time. This connection allows one to compute the analytic form of the frame-independent light-front wavefunctions of mesons and baryons, the … continued below

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19 pages

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Brodsky, Stanley J. March 6, 2007.

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Conformal symmetry provides a systematic approximation to QCD in both its perturbative and nonperturbative domains. One can use the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories to obtain an analytically tractable approximation to QCD in the regime where the QCD coupling is large and constant. For example, there is an exact correspondence between the fifth-dimensional coordinate of AdS space and a specific impact variable which measures the separation of the quark constituents within the hadron in ordinary space-time. This connection allows one to compute the analytic form of the frame-independent light-front wavefunctions of mesons and baryons, the fundamental entities which encode hadron properties and allow the computation of exclusive scattering amplitudes. One can also use conformal symmetry as a template for perturbative QCD predictions where the effects of the nonzero beta function can be systematically included in the scale of the QCD coupling. This leads to fixing of the renormalization scale and commensurate scale relations which relate observables without scale or scheme ambiguity. The results are consistent with the renormalization group and the analytic connection of QCD to Abelian theory at N{sub C} {yields} 0. I also discuss a number of novel phenomenological features of QCD. Initial- and .nal-state interactions from gluon-exchange, normally neglected in the parton model, have a profound effect in QCD hard-scattering reactions, leading to leading-twist single-spin asymmetries, diffractive deep inelastic scattering, di.ractive hard hadronic reactions, the breakdown of the Lam Tung relation in Drell-Yan reactions, and nuclear shadowing and non-universal antishadowing--leading-twist physics not incorporated in the light-front wavefunctions of the target computed in isolation. I also discuss tests of hidden color in nuclear wavefunctions, the use of diffraction to materialize the Fock states of a hadronic projectile and test QCD color transparency, nonperturbative antisymmetric sea quark distributions, anomalous heavy quark e.ects, and the unexpected effects of direct higher-twist processes.

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19 pages

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http://www.slac.stanford.edu/cgi-wrap/pubpage?slac-pub-12381.html

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  • Journal Name: Prog.Theor.Phys.Suppl.167:76-94,2007; Conference: Invited talk at the International Symposium on the Jubilee of the Sakata Models (pnLambda50), Nagoya, Japan, 25-26 Nov 2006

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  • Report No.: SLAC-PUB-12381
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 900589
  • Archival Resource Key: ark:/67531/metadc885479

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  • March 6, 2007

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  • Sept. 22, 2016, 2:13 a.m.

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  • Sept. 26, 2017, 1:31 p.m.

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Brodsky, Stanley J. The Conformal Template and New Perspectives for Quantum Chromodynamics, article, March 6, 2007; United States. (https://digital.library.unt.edu/ark:/67531/metadc885479/: accessed April 25, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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