Summing one-loop graphs at multiparticle threshold

Journal Article · Fri Jan 15 00:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.R357· OSTI ID:7119790

Voloshin, M B ^[1]

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1. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States) Institute of Theoretical and Experimental Physics, Moscow 117259 (Russian Federation)

It is shown that the technique recently suggested by Brown for summing the tree graphs at threshold can be extended to calculate the loop effects. An explicit result is derived for the sum of one-loop graphs for the amplitude of threshold production of [ital n] on-mass-shell particles by one virtual particle in the unbroken [lambda][phi][sup 4] theory. It is also found that the tree-level amplitude of production of [ital n] particles by two incoming on-mass-shell particles vanishes at the threshold for [ital n][gt]4.

• DOE Contract Number: AC02-83ER40105
• OSTI ID: 7119790
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 47:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MULTIPLE PRODUCTION
PERTURBATION THEORY
PHI4-FIELD THEORY
SYMMETRY BREAKING
CALCULATION METHODS
COUPLING CONSTANTS
FEYNMAN DIAGRAM
MASS
RENORMALIZATION
THRESHOLD ENERGY
WEAK INTERACTIONS
BASIC INTERACTIONS
DIAGRAMS
ENERGY
FIELD THEORIES
INTERACTIONS
PARTICLE PRODUCTION
QUANTUM FIELD THEORY
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)