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Asymptotic behaviour in field theory

Abstract

Asymptotic behaviour in field theory has been studied and the anomalies are pointed out in two specific cases, (i) the infrared and fixed angle high energy behaviour in the non-trivial case of the 'box' amplitude in a scalar-scalar theory and (ii) high energy behaviour of a sixth order Yang-Mills diagram. A set of rules are presented for writing down the precise leading infrared behaviour of an arbitrary generalised ladder diagram (GLD) in QED. These rules are the final result of a detailed analysis of the relevant amplitudes in the Feynman parameter space. The connection between the infrared and fixed angle high energy limits of generalised ladder diagrams is explained. It is argued that the same set of rules yield the fixed angle high energy limit.
Authors:
Publication Date:
Jul 01, 1980
Product Type:
Conference
Report Number:
CONF-781260-
Reference Number:
AIX-12-614455; ERA-06-038518; EDB-81-125681
Resource Relation:
Conference: 4. high energy physics symposium, Jaipur, Rajasthan, India, 5 Dec 1978; Related Information: In: Proceedings of the fourth high energy physics symposium (held at) Jaipur, December 5-9, 1978.
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM ELECTRODYNAMICS; INFRARED DIVERGENCES; YANG-MILLS THEORY; ASYMPTOTIC SOLUTIONS; FEYNMAN DIAGRAM; LADDER APPROXIMATION; DIAGRAMS; ELECTRODYNAMICS; FIELD THEORIES; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory
OSTI ID:
8467444
Research Organizations:
Saha Inst. of Nuclear Physics, Calcutta (India)
Country of Origin:
India
Language:
English
Submitting Site:
INIS
Size:
Pages: 327-342
Announcement Date:
Mar 15, 2013

Citation Formats

Banerjee, H. Asymptotic behaviour in field theory. India: N. p., 1980. Web.
Banerjee, H. Asymptotic behaviour in field theory. India.
Banerjee, H. 1980. "Asymptotic behaviour in field theory." India.
@misc{etde_8467444,
title = {Asymptotic behaviour in field theory}
author = {Banerjee, H.}
abstractNote = {Asymptotic behaviour in field theory has been studied and the anomalies are pointed out in two specific cases, (i) the infrared and fixed angle high energy behaviour in the non-trivial case of the 'box' amplitude in a scalar-scalar theory and (ii) high energy behaviour of a sixth order Yang-Mills diagram. A set of rules are presented for writing down the precise leading infrared behaviour of an arbitrary generalised ladder diagram (GLD) in QED. These rules are the final result of a detailed analysis of the relevant amplitudes in the Feynman parameter space. The connection between the infrared and fixed angle high energy limits of generalised ladder diagrams is explained. It is argued that the same set of rules yield the fixed angle high energy limit.}
place = {India}
year = {1980}
month = {Jul}
}