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Conformal Symmetry as a Template [electronic resource] : Commensurate Scale Relations and Physical Renormalization Schemes

Published
Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 1999.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
vp : digital, PDF file
Additional Creators
Stanford Linear Accelerator Center, United States. Department of Energy. Office of Energy Research, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
Commensurate scale relations are perturbative QCD predictions which relate observable to observable at fixed relative scale, such as the ''generalized Crewther relation'', which connects the Bjorken and Gross-Llewellyn Smith deep inelastic scattering sum rules to measurements of the e⁺e{sup −} annihilation cross section. We show how conformal symmetry provides a template for such QCD predictions, providing relations between observables which are present even in theories which are not scale invariant. All non-conformal effects are absorbed by fixing the ratio of the respective momentum transfer and energy scales. In the case of fixed-point theories, commensurate scale relations relate both the ratio of couplings and the ratio of scales as the fixed point is approached. In the case of the α{sub V} scheme defined from heavy quark interactions, virtual corrections due to fermion pairs are analytically incorporated into the Gell-Mann Low function, thus avoiding the problem of explicitly computing and resuming quark mass corrections related to the running of the coupling. Applications to the decay width of the Z boson, the BFKL pomeron, and virtual photon scattering are discussed.
Report Numbers
E 1.99:slac-pub-8176
slac-pub-8176
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Note
Published through SciTech Connect.
06/09/1999.
"slac-pub-8176"
Brodsky, Stanley J.
Type of Report and Period Covered Note
Topical;
Funding Information
AC03-76SF00515
View MARC record | catkey: 13825610