High-energy Inclusive Annihilation Processes. 1. Physical Picture and $\phi^3$ in Six-dimensions

Kazama, Yoichi; Yao, York-Peng

doi:10.1103/PhysRevD.19.3111

High-energy Inclusive Annihilation Processes. 1. Physical Picture and $\phi^3$ in Six-dimensions

Yoichi Kazama
(
- Michigan U.
)
,
York-Peng Yao
(
- Michigan U.
)

Dec, 1978

39 pages

Published in:

Phys.Rev.D 19 (1979) 3111

DOI:

10.1103/PhysRevD.19.3111

Report number:

UM-HE-78-53

View in:

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Abstract: (APS)

We formulate a space-time picture of the evolution of jet processes in the context of the (φ3)6 model field theory. A leading logarithmic sum is performed to substantiate the underlying physics. In particular, we clearly locate the dominant subprocesses and then the emergence of the running coupling constant. A field-theoretic derivation of the Altarelli-Parisi equation is given, and the factorization property is shown. This article is a precursor to our companion article in which a similar problem in quantum chromodynamics is solved.

ELECTRON POSITRON: INCLUSIVE REACTION
ELECTRON POSITRON: ANNIHILATION
ANNIHILATION: ELECTRON POSITRON
field theory: scalar
FIELD THEORETICAL MODEL: SIX-DIMENSIONAL
MODEL: JET
MODEL: OFF-SHELL
BETHE-SALPETER EQUATION
FEYNMAN GRAPH
CURRENT ALGEBRA: EFFECTIVE LAGRANGIANS

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High-energy Inclusive Annihilation Processes. 1. Physical Picture and ϕ3\phi^3ϕ3 in Six-dimensions

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High-energy Inclusive Annihilation Processes. 1. Physical Picture and $\phi^3$ in Six-dimensions