Infrared behavior of non-Abelian gauge theories

Journal Article · Tue Jun 15 00:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.3370· OSTI ID:7192735

Cornwall, J M; Tiktopoulos, G

Infrared singularities in non-Abelian gauge (Yang-Mills) theories are studied in the leading-logarithm approximation. In addition to the usual infrared limit in which the infrared cutoff ..mu.. approaches zero for fixed on-shell momenta, we consider high-energy wide-angle scattering and form factors at large momentum transfer t in which infrared-induced powers of g/sup 2/ln/sup 2/ t (g = coupling constant) typical of vector field theories appear in perturbation expansions. Our techniques include asymptotic estimates of Feynman integrals (to sixth order) and a nonperturbative approach based on a conjectured formula for soft-meson emission. Remarkably, the logarithms sum up into exponential factors much as in QED. Unlike QED, cross sections for production of nonsinglet particles, even including an indefinite number of soft gauge quanta, vanish as ..mu.. ..-->.. 0, a phenomenon we interpret as evidence of particle confinement. We discuss exclusive hadronic processes in the context of the non-Abelin quark-gluon theory based on color SU(3). We find justification for the scaling laws at large momentum transfers (''quark counting rules'') in that the infrared logarithms cancel in the scaling pieces of hadronic amplitudes while providing a fast damping of the ''pinch'' contributions associated with Landshoff graphs. (AIP)

• Research Organization: Department of Physics, University of California, Los Angeles, California 90024
• OSTI ID: 7192735
• Journal Information: Phys. Rev., D; (United States), Vol. 13:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXCLUSIVE INTERACTIONS
COLOR MODEL
YANG-MILLS THEORY
INFRARED DIVERGENCES
ASYMPTOTIC SOLUTIONS
COMPOSITE MODELS
CROSS SECTIONS
FORM FACTORS
GAUGE INVARIANCE
SU-3 GROUPS
UNIFIED GAUGE MODELS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
SU GROUPS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory