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\documentclass{article} \usepackage[dvipdfm]{graphicx} \usepackage[dvipdfm]{color} \usepackage[dvipdfm]{hyperref} \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} \date{} \setlength{\parindent}{0cm} \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{]}. \\ \ \\ \ \\ \underline{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! \end{document}