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Phi4tools

Guides

  • Phi4tools

Tech Notes

  • Feynman Diagram Evaluation
  • Perturbative Series Generation

Symbols

  • BubbleSubdiagram
  • CountLoops
  • DeriveAndWriteExplicit
  • DrawGraph
  • ExternalMomentum
  • InformationDiagram
  • IntegrandDiagram
  • Momentum
  • MomVars
  • NComponents
  • NickelIndex
  • Propagator
  • SquareSubdiagram
  • SunsetSubdiagram
  • SymmetryFactorDiagram
  • TadSunsetSubdiagram
  • TadTriangleBubblesSubdiagram
  • TriangleSubdiagram
  • ValueDiagram
  • VisualizeDiagram
  • WriteExplicit
  • XCubicRatio
GSberveglieri`Phi4tools`
NickelIndex
​
​
NickelIndex
[n,v3,v4,d]
gives the Nickel Index for the
d
-th diagram of the
n
-point function with
v3
cubic vertices and
v4
quartic vertices.
​
​
NickelIndex
[n,v3,v4]
gives the Nickel Indices for the diagrams of the
n
-point function with
v3
cubic vertices and
v4
quartic vertices.
​
Details and Options

Examples  
(2)
Basic Examples  
(1)
In[1]:=
Needs["GSberveglieri`Phi4tools`"]
The Nickel index for the
th
75
Feynman diagram for
(2)
Γ
for the
4
ϕ
theory at the order
6
λ
.
In[2]:=
NickelIndex
[2,0,6,75]
Out[2]=
e123|245|45|445||e|
The list of Nickel indices for the diagrams of
(0)
Γ
for the
4
ϕ
theory at the order
5
λ
.
In[3]:=
NickelIndex
[0,0,5]
Out[3]=
{1112|2|34|444||,1112|3|344|44||,1122|33|44|44||,1122|34|34|44||,1123|24|34|44||,1234|234|34|4||}
Properties & Relations  
(1)

SeeAlso
InformationDiagram
 
▪
DrawGraph
 
▪
VisualizeDiagram
RelatedGuides
▪
Phi4tools
""

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