MULTIPARTICLE TREE AMPLITUDES IN SCALAR FIELD-THEORY

Authors
BRANDT FT FRENKEL J
Citation
Ft. Brandt et J. Frenkel, MULTIPARTICLE TREE AMPLITUDES IN SCALAR FIELD-THEORY, Physical review. D. Particles and fields, 53(4), 1996, pp. 2256-2259
Citations number
21
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
53
Issue
4
Year of publication
1996
Pages
2256 - 2259
Database
ISI
SICI code
0556-2821(1996)53:4<2256:MTAISF>2.0.ZU;2-U
Abstract
Following an argument advanced by Feynman, we consider a method for ob taining the effective action which generates the sum of tree diagrams with external physical particles. This technique is applied, in the un broken lambda phi(4) theory, to the derivation of the threshold amplit ude for the production of n scalar particles by n initial particles. T he leading contributions to the tree amplitude, which become singular in the threshold limit, exhibit a factorial growth with n.