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Decomposing Colour Structures into Multiplet Bases

Thorén, Johan LU (2014) FYTM02 20141
Department of Astronomy and Theoretical Physics - Has been reorganised
Theoretical Particle Physics - Has been reorganised
Abstract
In this thesis a method for decomposing QCD colour structures into multiplet bases is described. The method is applicable for any number of gluons and quarks. To achieve the decomposition requires the knowledge of group theoretical weights, so-called Wigner 3j and 6j coefficients. The number of required coefficients have been calculated for up to 12 external gluons, and been shown to scale well in the number of external partons. How to calculate the coefficients have been shown and for 6 external gluons they have been calculated.

Furthermore the colour structures of Ng-1 basis vectors radiating a gluon have been decomposed into the Ng basis vectors. The viability of this has been examined for up to 10 external gluons by counting how... (More)
In this thesis a method for decomposing QCD colour structures into multiplet bases is described. The method is applicable for any number of gluons and quarks. To achieve the decomposition requires the knowledge of group theoretical weights, so-called Wigner 3j and 6j coefficients. The number of required coefficients have been calculated for up to 12 external gluons, and been shown to scale well in the number of external partons. How to calculate the coefficients have been shown and for 6 external gluons they have been calculated.

Furthermore the colour structures of Ng-1 basis vectors radiating a gluon have been decomposed into the Ng basis vectors. The viability of this has been examined for up to 10 external gluons by counting how many Ng basis vectors are projected on by the colour structures. (Less)
Please use this url to cite or link to this publication:
author
Thorén, Johan LU
supervisor
organization
course
FYTM02 20141
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Colour Structures, QCD, Quantum Chromodynamics, SU(Nc), Multiplet bases, Color structures
language
English
id
4499044
date added to LUP
2014-06-27 14:31:02
date last changed
2014-06-27 14:31:02
@misc{4499044,
  abstract     = {{In this thesis a method for decomposing QCD colour structures into multiplet bases is described. The method is applicable for any number of gluons and quarks. To achieve the decomposition requires the knowledge of group theoretical weights, so-called Wigner 3j and 6j coefficients. The number of required coefficients have been calculated for up to 12 external gluons, and been shown to scale well in the number of external partons. How to calculate the coefficients have been shown and for 6 external gluons they have been calculated.

Furthermore the colour structures of Ng-1 basis vectors radiating a gluon have been decomposed into the Ng basis vectors. The viability of this has been examined for up to 10 external gluons by counting how many Ng basis vectors are projected on by the colour structures.}},
  author       = {{Thorén, Johan}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{Decomposing Colour Structures into Multiplet Bases}},
  year         = {{2014}},
}