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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`
ValueDiagram
​
​
ValueDiagram
[n,v3,v4,d]
gives the three-dimensional integrated value of the
d
-th Feynman diagram for the
n
-point function
(n)
Γ
with
v3
cubic vertices and
v4
quartic vertices.
​
​
ValueDiagram
[n,v3,v4]
gives the list of three-dimensional integrated values of the Feynman diagram for the
n
-point function
(n)
Γ
with
v3
cubic vertices and
v4
quartic vertices.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
Needs["GSberveglieri`Phi4tools`"]
Values of the Feynman diagrams for
(2)
Γ
for the
4
ϕ
theory at the order
4
λ
.
In[2]:=
ValueDiagram
[2,0,4]
Out[2]=
-
8
3
Log
4
3
,
2
2
π
3
,-0.39527029731357374647297135
±
1.0×
-25
10
,6.89396219894380485184
±
1.0×
-18
10
,4.13143871428208955267278053
±
1.0×
-25
10
,4.9623843913168497378
±
1.0×
-18
10

Value of the
th
14
Feynman diagram for
∂
2
p
(2)
Γ
(p=0)
for the
4
ϕ
theory at the order
5
λ
.
In[3]:=
ValueDiagram
[2,0,5,14,"Derivative"True]
Out[3]=
0.00497557695084022433778191
±
1.0×
-25
10
SeeAlso
InformationDiagram
TechNotes
▪
Feynman Diagram Evaluation
▪
Perturbative Series Generation
RelatedGuides
▪
Phi4tools
""

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