QCD in the color-flow representation

A bstract For many practical purposes, it is convenient to formulate unbroken non-abelian gauge theories like QCD in a color-flow basis. We present a new derivation of SU( N ) interactions in the color-flow basis by extending the gauge group to U( N ) × U(1)′ in such a way that the two U(1) factors...

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Bibliographic Details
Published in:The journal of high energy physics 2012-10, Vol.2012 (10), Article 22
Main Authors: Kilian, W., Ohl, T., Reuter, J., Speckner, C.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Color
Elementary Particles
High energy physics
Perturbation theory
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Representations
String Theory
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Summary:A bstract For many practical purposes, it is convenient to formulate unbroken non-abelian gauge theories like QCD in a color-flow basis. We present a new derivation of SU( N ) interactions in the color-flow basis by extending the gauge group to U( N ) × U(1)′ in such a way that the two U(1) factors cancel each other. We use the quantum action principles to show the equivalence to the usual basis to all orders in perturbation theory. We extend the known Feynman rules to exotic color representations (e.g. sextets) and discuss practical applications as they occur in automatic computation programs.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2012)022