Name: Thomas Gajdosik (email_not_shown)
Date: 06/28/01-11:03:52 PM Z


I noted a problem with renaming variables and the application of

I have added a small sample notebook which illustrates this problem:
when I write a sum of \gammas in different ways and order them, I get a
difference if I make a renaming of momenta before or after the

Please, look at the appended notebook: Bug_in_FC.nb

Thomas Gajdosik


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    \(\(Off[General::spell];\)\), "\n",
    \(\(Off[General::spell1];\)\)}], "Input"],

    \(\(\(\ \)\(<< HighEnergyPhysics`fc`\)\)\)], "Input"],

    \(\($PairBrackets = True;\)\)], "Input"],

    \(\(repPolexternal = {\[IndentingNewLine]Momentum[
              Polarization[Ppsi, \[ImaginaryI]]] ->
            Momentum[ePsip], \[IndentingNewLine]Momentum[
              Polarization[Ppsi, \(-\[ImaginaryI]\)]] -> Momentum[ePsim],
          Momentum[Polarization[pg, \[ImaginaryI]]] -> Momentum[epgp],
          Momentum[Polarization[pg, \(-\[ImaginaryI]\)]] ->
            Momentum[epgm]};\)\)], "Input"],

    \(\(CC[expr_] := Module[{}, ComplexConjugate[Calc[expr]]];\)\)], "Input"],

    \(\(f1Araw =
        I*DiracGamma[Momentum[pg]] .
              DiracGamma[Momentum[Polarization[Ppsi, I]]] .
              DiracGamma[Momentum[Polarization[pg, \(-I\)]]]*
            Pair[Momentum[pg], Momentum[pm]] +
          I*DiracGamma[Momentum[pg]] .
              DiracGamma[Momentum[Polarization[Ppsi, I]]] .
              DiracGamma[Momentum[Polarization[pg, \(-I\)]]]*
            Pair[Momentum[pg], Momentum[pp]] -
          2*I*DiracGamma[Momentum[Polarization[pg, \(-I\)]]]*
            Pair[Momentum[pg], Momentum[pm]]*
            Pair[Momentum[pg], Momentum[Polarization[Ppsi, I]]] +
          2*I*DiracGamma[Momentum[Polarization[Ppsi, I]]]*
            Pair[Momentum[pg], Momentum[pp]]*
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          2*I*DiracGamma[Momentum[Polarization[Ppsi, I]]]*
            Pair[Momentum[pg], Momentum[pm]]*
            Pair[Momentum[pp], Momentum[Polarization[pg, \(-I\)]]] -
          2*I*DiracGamma[Momentum[pg]]*Pair[Momentum[pg], Momentum[pp]]*
            Pair[Momentum[Polarization[pg, \(-I\)]],
              Momentum[Polarization[Ppsi, I]]];\)\)], "Input"],

    \(CC[f1Araw] - ComplexConjugate[f1Araw]\)], "Input"],

    \(\(t1 =
                          Momentum[Polarization[pg, \(-I\)]]]*pgpm -
                      Pair[Momentum[pm], Momentum[Polarization[pg, \(-I\)]]]*
                        pgpp)\) +
                DiracGamma[Momentum[Polarization[Ppsi, I]]] .
                    DiracGamma[Momentum[pg]] .
                    DiracGamma[Momentum[Polarization[pg, \(-I\)]]]*pgpm -
                DiracGamma[Momentum[Polarization[pg, \(-I\)]]] .
                    DiracGamma[Momentum[pg]] .
                    DiracGamma[Momentum[Polarization[Ppsi, I]]]*
                  pgpp)\) /. {pgpm -> Pair[Momentum[pg], Momentum[pm]],
              pgpp -> Pair[Momentum[pg], Momentum[pp]]}];\)\)], "Input"],

    \(CC[t1] - ComplexConjugate[t1]\)], "Input"],

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      DiracOrder[ComplexConjugate[t1]]\)], "Input"],

(DiracOrder[-(I*ComplexConjugate[f1Araw])] /. repPolexternal) -
   DiracOrder[ComplexConjugate[t1]] /. repPolexternal\
\>", "Input"],

(DiracOrder[-(I*ComplexConjugate[f1Araw]) /. repPolexternal]) -
  DiracOrder[ComplexConjugate[t1] /. repPolexternal]\
\>", "Input"]
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