Commensurate scale relations and the Abelian correspondence principle
Commensurate scale relations are perturbative QCD predictions which relate observable to observable at fixed relative scales, independent of the choice of intermediate renormalization scheme or other theoretical conventions. A prominent example is the generalized Crewther relation which connects the Bjorken and Gross-Llewellyn Smith deep inelastic scattering sum rules to measurements of the e{sup +}e{sup -} annihilation cross section. Commensurate scale relations also provide an extension of the standard minimal subtraction scheme which is analytic in the quark masses, has non-ambiguous scale-setting properties, and inherits the physical properties of the effective charge {alpha}{sub V} (Q{sup 2}) defined from the heavy quark potential. The author also discusses a property of perturbation theory, the Abelian correspondence principle, which provides an analytic constraint on non-Abelian gauge theory for N{sub C} {yields} 0.
- Research Organization:
- Stanford Univ., Stanford Linear Accelerator Center, CA (US); Univ. of Maryland, College Park, MD (US)
- Sponsoring Organization:
- USDOE Office of Energy Research, Washington, DC (US)
- DOE Contract Number:
- AC03-76SF00515; FG02-93ER40762
- OSTI ID:
- 666094
- Report Number(s):
- SLAC-PUB-7861; CONF-9803118-; ON: DE98059243; TRN: US200305%%1118
- Resource Relation:
- Conference: Workshop on future directions in quark nuclear physics, Adelaide (AU), 03/09/1998--03/20/1998; Other Information: Supercedes report DE98059243; PBD: Jun 1998; PBD: 1 Jun 1998
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
CROSS SECTIONS
DEEP INELASTIC SCATTERING
EFFECTIVE CHARGE
NUCLEAR PHYSICS
PERTURBATION THEORY
PHYSICAL PROPERTIES
QUANTUM CHROMODYNAMICS
QUARKS
RENORMALIZATION
SUM RULES