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Title: Mass-shell applications of the renormalization group with arbitrary interpolating fields

Abstract

The use of renormalization-group techniques to study the high-energy, fixed-angle behavior of on-shell S-matrix elements is discussed and reconciled with the fact that the field operator associated with an external on-shell particle is not unique. It is shown that, in a theory with an ultraviolet-stable fixed point, the various choices of interpolating field all give the same effective fixed-point anomalous dimension. The remaining differences in the renormalization-group equations for vertex functions of different interpolating fields are absorbed by the finite renormalization necessary for constructing properly normalized scattering amplitudes. (AIP)

Authors:
;
Publication Date:
Research Org.:
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
OSTI Identifier:
7136874
Resource Type:
Journal Article
Journal Name:
Phys. Rev., D; (United States)
Additional Journal Information:
Journal Volume: 14:10
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; RENORMALIZATION; S MATRIX; ASYMPTOTIC SOLUTIONS; GREEN FUNCTION; SCATTERING AMPLITUDES; VERTEX FUNCTIONS; WAVE FUNCTIONS; AMPLITUDES; FIELD THEORIES; FUNCTIONS; MATRICES; 645400* - High Energy Physics- Field Theory

Citation Formats

Thacker, H.B., and Weisberger, W.I. Mass-shell applications of the renormalization group with arbitrary interpolating fields. United States: N. p., 1976. Web. doi:10.1103/PhysRevD.14.2658.
Thacker, H.B., & Weisberger, W.I. Mass-shell applications of the renormalization group with arbitrary interpolating fields. United States. doi:10.1103/PhysRevD.14.2658.
Thacker, H.B., and Weisberger, W.I. Mon . "Mass-shell applications of the renormalization group with arbitrary interpolating fields". United States. doi:10.1103/PhysRevD.14.2658.
@article{osti_7136874,
title = {Mass-shell applications of the renormalization group with arbitrary interpolating fields},
author = {Thacker, H.B. and Weisberger, W.I.},
abstractNote = {The use of renormalization-group techniques to study the high-energy, fixed-angle behavior of on-shell S-matrix elements is discussed and reconciled with the fact that the field operator associated with an external on-shell particle is not unique. It is shown that, in a theory with an ultraviolet-stable fixed point, the various choices of interpolating field all give the same effective fixed-point anomalous dimension. The remaining differences in the renormalization-group equations for vertex functions of different interpolating fields are absorbed by the finite renormalization necessary for constructing properly normalized scattering amplitudes. (AIP)},
doi = {10.1103/PhysRevD.14.2658},
journal = {Phys. Rev., D; (United States)},
number = ,
volume = 14:10,
place = {United States},
year = {1976},
month = {11}
}