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Title: Gauge invariance in the operator-product expansion in non-Abelian gauge theory. [Ward-Takahashi identities]

Abstract

Non-gauge-invariant operators appear in addition to manifestly gauge-invariant operators in the operator-product expansion in non-Abelian gauge theories. However, with the help of various Ward-Takahashi identities, it is shown that these operators which are not gauge invariant do not mix with the gauge-invariant operators to all orders in perturbation theory. These ''null'' operators have vanishing matrix elements in the physical subspace. Accordingly, the null operators may be neglected completely in the operator-product expansion, and the anomalous dimensions of gauge-invariant operators can be found by simply examining the mixing between the gauge-invariant operators if the correct separation between the gauge-invariant operators and the null operators is made. Our discussion is restricted to the light-cone-dominant twist-two operators with arbitrary spin. (AIP)

Authors:
Publication Date:
Research Org.:
Department of Physics, University of Washington, Seattle, Washington 98195
OSTI Identifier:
7344699
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys. Rev., D; (United States); Journal Volume: 14:4
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; GAUGE INVARIANCE; MATHEMATICAL OPERATORS; ASYMPTOTIC SOLUTIONS; DIMENSIONS; LIGHT CONE; RENORMALIZATION; TENSORS; WARD IDENTITY; FIELD THEORIES; INVARIANCE PRINCIPLES; SPACE-TIME; 645400* - High Energy Physics- Field Theory

Citation Formats

Lee, C. Gauge invariance in the operator-product expansion in non-Abelian gauge theory. [Ward-Takahashi identities]. United States: N. p., 1976. Web. doi:10.1103/PhysRevD.14.1078.
Lee, C. Gauge invariance in the operator-product expansion in non-Abelian gauge theory. [Ward-Takahashi identities]. United States. doi:10.1103/PhysRevD.14.1078.
Lee, C. Sun . "Gauge invariance in the operator-product expansion in non-Abelian gauge theory. [Ward-Takahashi identities]". United States. doi:10.1103/PhysRevD.14.1078.
@article{osti_7344699,
title = {Gauge invariance in the operator-product expansion in non-Abelian gauge theory. [Ward-Takahashi identities]},
author = {Lee, C.},
abstractNote = {Non-gauge-invariant operators appear in addition to manifestly gauge-invariant operators in the operator-product expansion in non-Abelian gauge theories. However, with the help of various Ward-Takahashi identities, it is shown that these operators which are not gauge invariant do not mix with the gauge-invariant operators to all orders in perturbation theory. These ''null'' operators have vanishing matrix elements in the physical subspace. Accordingly, the null operators may be neglected completely in the operator-product expansion, and the anomalous dimensions of gauge-invariant operators can be found by simply examining the mixing between the gauge-invariant operators if the correct separation between the gauge-invariant operators and the null operators is made. Our discussion is restricted to the light-cone-dominant twist-two operators with arbitrary spin. (AIP)},
doi = {10.1103/PhysRevD.14.1078},
journal = {Phys. Rev., D; (United States)},
number = ,
volume = 14:4,
place = {United States},
year = {Sun Aug 15 00:00:00 EDT 1976},
month = {Sun Aug 15 00:00:00 EDT 1976}
}