High-energy scattering amplitudes of Yang-Mills theories in generalized leading-term approximation and eikonal formulas
In this paper, we study the apparent discrepancy between Feynman diagrams and the eikonal formulas, and the apparent paradox between the eikonal formulas and the s-u crossing symmetry. We analyze the generalized leading-term approximation (GLA), which generates the terms of the eikonal formulas from Feynman diagrams. This analysis is done through using the techniques of decomposing diagrammatically the isospin factors (or group-theoretical weights in general) of Feynman diagrams. As a result, we modify the GLA into a generalized complex leading-term approximation. We calculate, with this new formalism, the high-energy limit (s..-->..infinity with t fixed) of the vector-meson--vector-meson elastic amplitude of a Yang-Mills theory with SU(2) symmetry through tenth perturbative order. With this new method, we resolve the apparent discrepancy and paradox mentioned above. This method is generalizable to other non-Abelian gauge theories.
- Research Organization:
- Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- OSTI ID:
- 6678208
- Journal Information:
- Phys. Rev., D; (United States), Vol. 23:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
YANG-MILLS THEORY
EIKONAL APPROXIMATION
FEYNMAN DIAGRAM
CROSSING SYMMETRY
ELASTIC SCATTERING
GAUGE INVARIANCE
ISOSPIN
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
SCATTERING AMPLITUDES
SPACE-TIME
SU-2 GROUPS
VECTOR MESONS
AMPLITUDES
BOSONS
DIAGRAMS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
INVARIANCE PRINCIPLES
LIE GROUPS
MESON RESONANCES
MESONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
RESONANCE PARTICLES
SCATTERING
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory