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\title{Program \char`\"{}xCOLOR\char`\"{}. User's Manual.}
\author{A.Kryukov \\
Institute for Nuclear Physics \\
Moscow State University \\
119899, Moscow, RUSSIA \\
E-mail: kryukov@npi.msu.su \\
Phone/Fax: (095) 939-0397}
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\begin{document}
\maketitle
\begin{abstract}
Program \char`\"{}xCOLOR\char`\"{} is intended for calculation the colour
factor in non-abelian gauge field theories. It is
realized Cvitanovich algorithm {[}1{]}. In comparision with
\char`\"{}COLOR\char`\"{} program {[}2{]} it was made many improvements.
The package was writen by symbolic mode. This version is
faster then {[}2{]} more then 10 times.
\end{abstract}
\ \\
After load the program by the following command \quad {\tt load xcolor}; \\
user can be able to use the next additional commands and operators.
\subsubsection*{Command SUdim.}
Format: {\tt SUdim <any expression>}; \\
\ \\
Set the order of SU group. \\
\ \\
The default value is 3, i.e. SU(3).
\subsubsection*{Command SpTT.}
Format: {\tt SpTT <any expression>}; \\
\ \\
Set the normalization coefficient A: Sp(TiTj) = A{*}Delta(i,j).
Default value is 1/2.
\subsubsection*{Operator QG.}
Format: {\tt 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.
\subsubsection*{Operator G3.}
Format: {\tt 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 \char`\"{}color\char`\"{}
space as a product of these operators. For example.
\begin{verbatim}
Diagram: REDUCE expression:
e1
---->---
/ \
| e2 |
v1*..........*v2 <===> QG(e3,e1,e2)*QG(e1,e3,e2)
| |
\ e3 /
----<---
Here: --->--- quark
....... gluon
\end{verbatim}
More detail see {[}2{]}. \\
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\underline{References.} \\
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{[}1{]} P.Cvitanovic, Phys. Rev. D14(1976), p.1536.
{[}2{]} A.Kryukov \& A.Rodionov, Comp. Phys. Comm., 48(1988), pp.327-334.\\
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Please send any remarks to my address above! \\
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Good luck!
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