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A bug when FCParallelizing FCLoopCreatePartialFractioningRules with assigning numbers to symbols after ScalarProducts=symbols #348

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A bug when FCParallelizing FCLoopCreatePartialFractioningRules with assigning numbers to symbols after ScalarProducts=symbols#348
@ygtw1

Description

@ygtw1
ygtw1
opened on Feb 9, 2026

"test1:"
Quit[]
LaunchKernels[8];
$LoadAddOns={"FeynArts"};
<<FeynCalc`;
$FAVerbose=0;
$ParallelizeFeynCalc=True;
FCClearScalarProducts[];
SPD[P]=4 x;
SPD[k1]=0;
SPD[P,k1]=2 x;
x=1;
glis={GLI["fctopology",{1,1,1,1,1,2,1,1,1}]};
topos={FCTopology["fctopology",
{SFAD[{{q3,0},{1,1},1}],SFAD[{{q2,0},{0,1},1}],SFAD[{{q1,0},{1,1},1}],SFAD[{{q1+q2,0},{1,1},1}],SFAD[{{P/2+q2,0},{1,1},1}],SFAD[{{P/2+q1,0},{0,1},1}],SFAD[{{k1-P/2+q2,0},{1,1},1}],SFAD[{{P/2-q2,0},{1,1},1}],SFAD[{{P/2+q1-q3,0},{1,1},1}]},
{q1,q2,q3},{k1,P},{Hold[Pair][Momentum[P,D],Momentum[P,D]]->4,Hold[Pair][Momentum[k1,D],Momentum[k1,D]]->0,Hold[Pair][Momentum[k1,D],Momentum[P,D]]->2},{}]};
FCLoopCreatePartialFractioningRules[glis,topos,FCParallelize->True,"KeepApartHead"->True]//FCE
FCLoopCreatePartialFractioningRules[glis,topos,FCParallelize->False,"KeepApartHead"->True]//FCE
%%===%

During evaluation of In[1]:= FeynCalc 10.2.0 (dev version). For help, use the online documentation, visit the forum and have a look at the supplied examples. The PDF-version of the manual can be downloaded here.

During evaluation of In[1]:= If you use FeynCalc in your research, please evaluate FeynCalcHowToCite[] to learn how to cite this software.

During evaluation of In[1]:= Please keep in mind that the proper academic attribution of our work is crucial to ensure the future development of this package!

During evaluation of In[1]:= FeynArts 3.12 (24 May 2024) patched for use with FeynCalc, for documentation see the manual or visit www.feynarts.de.

During evaluation of In[1]:= If you use FeynArts in your research, please cite

During evaluation of In[1]:= [Bullet] T. Hahn, Comput. Phys. Commun., 140, 418-431, 2001, arXiv:hep-ph/0012260

During evaluation of In[1]:= Power::infy: Infinite expression 1/0 encountered.

During evaluation of In[1]:= Power::infy: Infinite expression 1/0 encountered.

During evaluation of In[1]:= Power::infy: Infinite expression 1/0 encountered.

During evaluation of In[1]:= General::stop: Further output of Power::infy will be suppressed during this calculation.

Out[13]= {{GLI["fctopology", {1, 1, 1, 1, 1, 2, 1, 1, 1}] ->
FCGV["ApartHead"][ComplexInfinity,
GLI["fctopologyPFR2", {1, 1, 1, 1, 2, 1, 1, 1}]] +
FCGV["ApartHead"][ComplexInfinity,
GLI["fctopologyPFR5", {1, 1, 1, 1, 2, 1, 1, 1}]] +
FCGV["ApartHead"][ComplexInfinity,
GLI["fctopologyPFR8", {1, 1, 1, 1, 1, 2, 1, 1}]]}, {FCTopology[
"fctopologyPFR2", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q1, 0}, {1, 1}, 1}], SFAD[{{q1 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR5", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR8", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}]}}

Out[14]= {{GLI["fctopology", {1, 1, 1, 1, 1, 2, 1, 1, 1}] ->
FCGV["ApartHead"][-1,
GLI["fctopologyPFR5", {1, 1, 1, 1, 2, 1, 2, 1}]] +
FCGV["ApartHead"][2,
GLI["fctopologyPFR2", {1, 1, 1, 1, 2, 1, 2, 1}]]}, {FCTopology[
"fctopologyPFR5", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR2", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q1, 0}, {1, 1}, 1}], SFAD[{{q1 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}]}}

Out[15]= False

"test2"
Quit[]
LaunchKernels[8];
$LoadAddOns={"FeynArts"};
<<FeynCalc`;
$FAVerbose=0;
$ParallelizeFeynCalc=True;
FCClearScalarProducts[];
x=1;
SPD[P]=4 x;
SPD[k1]=0;
SPD[P,k1]=2 x;
glis={GLI["fctopology",{1,1,1,1,1,2,1,1,1}]};
topos={FCTopology["fctopology",
{SFAD[{{q3,0},{1,1},1}],SFAD[{{q2,0},{0,1},1}],SFAD[{{q1,0},{1,1},1}],SFAD[{{q1+q2,0},{1,1},1}],SFAD[{{P/2+q2,0},{1,1},1}],SFAD[{{P/2+q1,0},{0,1},1}],SFAD[{{k1-P/2+q2,0},{1,1},1}],SFAD[{{P/2-q2,0},{1,1},1}],SFAD[{{P/2+q1-q3,0},{1,1},1}]},
{q1,q2,q3},{k1,P},{Hold[Pair][Momentum[P,D],Momentum[P,D]]->4,Hold[Pair][Momentum[k1,D],Momentum[k1,D]]->0,Hold[Pair][Momentum[k1,D],Momentum[P,D]]->2},{}]};
FCLoopCreatePartialFractioningRules[glis,topos,FCParallelize->True,"KeepApartHead"->True]//FCE
FCLoopCreatePartialFractioningRules[glis,topos,FCParallelize->False,"KeepApartHead"->True]//FCE
%%===%

During evaluation of In[1]:= FeynCalc 10.2.0 (dev version). For help, use the online documentation, visit the forum and have a look at the supplied examples. The PDF-version of the manual can be downloaded here.

During evaluation of In[1]:= If you use FeynCalc in your research, please evaluate FeynCalcHowToCite[] to learn how to cite this software.

During evaluation of In[1]:= Please keep in mind that the proper academic attribution of our work is crucial to ensure the future development of this package!

During evaluation of In[1]:= FeynArts 3.12 (24 May 2024) patched for use with FeynCalc, for documentation see the manual or visit www.feynarts.de.

During evaluation of In[1]:= If you use FeynArts in your research, please cite

During evaluation of In[1]:= [Bullet] T. Hahn, Comput. Phys. Commun., 140, 418-431, 2001, arXiv:hep-ph/0012260

Out[13]= {{GLI["fctopology", {1, 1, 1, 1, 1, 2, 1, 1, 1}] ->
FCGV["ApartHead"][-1,
GLI["fctopologyPFR5", {1, 1, 1, 1, 2, 1, 2, 1}]] +
FCGV["ApartHead"][2,
GLI["fctopologyPFR2", {1, 1, 1, 1, 2, 1, 2, 1}]]}, {FCTopology[
"fctopologyPFR5", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR2", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q1, 0}, {1, 1}, 1}], SFAD[{{q1 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}]}}

Out[14]= {{GLI["fctopology", {1, 1, 1, 1, 1, 2, 1, 1, 1}] ->
FCGV["ApartHead"][-1,
GLI["fctopologyPFR5", {1, 1, 1, 1, 2, 1, 2, 1}]] +
FCGV["ApartHead"][2,
GLI["fctopologyPFR2", {1, 1, 1, 1, 2, 1, 2, 1}]]}, {FCTopology[
"fctopologyPFR5", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR2", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q1, 0}, {1, 1}, 1}], SFAD[{{q1 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}]}}

Out[15]= True

"test3"
Quit[]
LaunchKernels[8];
$LoadAddOns={"FeynArts"};
<<FeynCalc`;
$FAVerbose=0;
$ParallelizeFeynCalc=True;
FCClearScalarProducts[];
SPD[P]=4 x;
SPD[k1]=0;
SPD[P,k1]=2 x;
glis={GLI["fctopology",{1,1,1,1,1,2,1,1,1}]};
topos={FCTopology["fctopology",
{SFAD[{{q3,0},{1,1},1}],SFAD[{{q2,0},{0,1},1}],SFAD[{{q1,0},{1,1},1}],SFAD[{{q1+q2,0},{1,1},1}],SFAD[{{P/2+q2,0},{1,1},1}],SFAD[{{P/2+q1,0},{0,1},1}],SFAD[{{k1-P/2+q2,0},{1,1},1}],SFAD[{{P/2-q2,0},{1,1},1}],SFAD[{{P/2+q1-q3,0},{1,1},1}]},
{q1,q2,q3},{k1,P},{Hold[Pair][Momentum[P,D],Momentum[P,D]]->4,Hold[Pair][Momentum[k1,D],Momentum[k1,D]]->0,Hold[Pair][Momentum[k1,D],Momentum[P,D]]->2},{}]};
FCLoopCreatePartialFractioningRules[glis,topos,FCParallelize->True,"KeepApartHead"->True]//FCE
FCLoopCreatePartialFractioningRules[glis,topos,FCParallelize->False,"KeepApartHead"->True]//FCE
%%===%

During evaluation of In[1]:= FeynCalc 10.2.0 (dev version). For help, use the online documentation, visit the forum and have a look at the supplied examples. The PDF-version of the manual can be downloaded here.

During evaluation of In[1]:= If you use FeynCalc in your research, please evaluate FeynCalcHowToCite[] to learn how to cite this software.

During evaluation of In[1]:= Please keep in mind that the proper academic attribution of our work is crucial to ensure the future development of this package!

During evaluation of In[1]:= FeynArts 3.12 (24 May 2024) patched for use with FeynCalc, for documentation see the manual or visit www.feynarts.de.

During evaluation of In[1]:= If you use FeynArts in your research, please cite

During evaluation of In[1]:= [Bullet] T. Hahn, Comput. Phys. Commun., 140, 418-431, 2001, arXiv:hep-ph/0012260

Out[12]= {{GLI["fctopology", {1, 1, 1, 1, 1, 2, 1, 1, 1}] ->
FCGV["ApartHead"][-(1/(-1 + x)),
GLI["fctopologyPFR2", {1, 1, 1, 1, 2, 1, 1, 1}]] +
FCGV["ApartHead"][1/(2 (-1 + x)),
GLI["fctopologyPFR5", {1, 1, 1, 1, 2, 1, 1, 1}]] +
FCGV["ApartHead"][1/(2 (-1 + x)),
GLI["fctopologyPFR8", {1, 1, 1, 1, 1, 2, 1, 1}]]}, {FCTopology[
"fctopologyPFR2", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q1, 0}, {1, 1}, 1}], SFAD[{{q1 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR5", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR8", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}]}}

Out[13]= {{GLI["fctopology", {1, 1, 1, 1, 1, 2, 1, 1, 1}] ->
FCGV["ApartHead"][-(1/(-1 + x)),
GLI["fctopologyPFR2", {1, 1, 1, 1, 2, 1, 1, 1}]] +
FCGV["ApartHead"][1/(2 (-1 + x)),
GLI["fctopologyPFR5", {1, 1, 1, 1, 2, 1, 1, 1}]] +
FCGV["ApartHead"][1/(2 (-1 + x)),
GLI["fctopologyPFR8", {1, 1, 1, 1, 1, 2, 1, 1}]]}, {FCTopology[
"fctopologyPFR2", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q1, 0}, {1, 1}, 1}], SFAD[{{q1 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR5", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 - q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}],
FCTopology[
"fctopologyPFR8", {SFAD[{{q3, 0}, {1, 1}, 1}],
SFAD[{{q2, 0}, {0, 1}, 1}], SFAD[{{q1, 0}, {1, 1}, 1}],
SFAD[{{q1 + q2, 0}, {1, 1}, 1}], SFAD[{{P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1, 0}, {0, 1}, 1}],
SFAD[{{k1 - P/2 + q2, 0}, {1, 1}, 1}],
SFAD[{{P/2 + q1 - q3, 0}, {1, 1}, 1}]}, {q1, q2, q3}, {k1,
P}, {Hold[Pair][Momentum[P, D], Momentum[P, D]] -> 4,
Hold[Pair][Momentum[k1, D], Momentum[k1, D]] -> 0,
Hold[Pair][Momentum[k1, D], Momentum[P, D]] -> 2}, {}]}}

Out[14]= True

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