REDUCE

16.75 XCOLOR: Color factor in some field theories

This package calculates the color factor in non-abelian gauge field theories using an algorithm due to Cvitanovich.

Documentation for this package is in plain text.

Author: A. Kryukov.

Program "xCOLOR" is intended for calculation the colour factor in non-abelian gauge field theories. It is realized Cvitanovich algorithm [1]. In comparision with "COLOR" program [2] it was made many improvements. The package was writen by symbolic mode. This version is faster then [2] more then 10 times.

 
After load the program by the following command load xcolor;
user can be able to use the next additional commands and operators.

Command SUdim.

Format: SUdim <any expression>;
 
Set the order of SU group.
 
The default value is 3, i.e. SU(3).

Command SpTT.

Format: SpTT <any expression>;
 
Set the normalization coefficient A: Sp(TiTj) = A*Delta(i,j). Default value is 1/2.

Operator QG.

Format: QG(inQuark,outQuark,Gluon)
 
Describe the quark-gluon vertex. Parameters may be any identifiers. First and second of then must be in- and out- quarks correspondently. Third one is a gluon.

Operator G3.

Format: G3(Gluon1,Gluon2,Gluon3)
 
Describe the three-gluon vertex. Parameters may be any identifiers. The order of gluons must be clock.
 
In terms of QG and G3 operators you input diagram in "color" space as a product of these operators. For example.

 
 
 Diagram:                       REDUCE expression:  
 
            e1  
 
         ---->---  
        /        \  
       |    e2    |  
     v1*..........*v2  <===>  QG(e3,e1,e2)*QG(e1,e3,e2)  
       |          |  
        \   e3   /  
         ----<---  
 
 
Here: --->--- quark  
 
      ....... gluon  

More detail see [2].
 
 
References.
 
[1] P.Cvitanovic, Phys. Rev. D14(1976), p.1536.

[2] A.Kryukov & A.Rodionov, Comp. Phys. Comm., 48(1988), pp.327-334.
 
 
 
Please send any remarks to my address above!
 
 
Good luck!