@@ -1,104 +1,104 @@ - - Program "xCOLOR". User's Manual. - -------------------------------- - - A.Kryukov - - Institute for Nuclear Physics - Moscow State University - 119899, Moscow, RUSSIA - E-mail: kryukov@npi.msu.su - Phone/Fax: (095) 939-0397 - - - Abstract - - 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 ; - -Set the order of SU group. -The default value is 3, i.e. SU(3). - -Command SpTT. -------------- - -Format: SpTT ; - -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. - - Any remarks send to - - A.Kryukov - - Institute for Nuclear Physics - Moscow State University - 119899, Moscow, RUSSIA - E-mail: kryukov@npi.msu.su - Phone/Fax: (095) 939-0397 - - - Good luck! - + + Program "xCOLOR". User's Manual. + -------------------------------- + + A.Kryukov + + Institute for Nuclear Physics + Moscow State University + 119899, Moscow, RUSSIA + E-mail: kryukov@npi.msu.su + Phone/Fax: (095) 939-0397 + + + Abstract + + 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 ; + +Set the order of SU group. +The default value is 3, i.e. SU(3). + +Command SpTT. +------------- + +Format: SpTT ; + +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. + + Any remarks send to + + A.Kryukov + + Institute for Nuclear Physics + Moscow State University + 119899, Moscow, RUSSIA + E-mail: kryukov@npi.msu.su + Phone/Fax: (095) 939-0397 + + + Good luck! +