Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

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`
MomVars
​
MomVars
[expr]
gives the list of
Momentum
variables appearing in
expr
.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
Needs["GSberveglieri`Phi4tools`"]
Extract the momentum variables from the output of
IntegrandDiagram
In[2]:=
integ=
IntegrandDiagram
[2,0,4,6,"Substitutions""Analytics"]​​
MomVars
[integ]
Out[2]=
1
4
ℬ[[1]][[2]][[1]+[2]][-[1]-[2],[1],[2]]
Out[2]=
{[1],[2]}
Extract the independent momentum components in spherical coordinates from the three-dimensional integrand
In[3]:=
integ3d=
WriteExplicit
[integ,"Simplification""Simplify"]​​
MomVars
[integ3d]
Out[3]=
ArcTan
[1]
ρ
2
ArcTan
[1]
ρ
[2]
ρ
2
[1]
ρ
+2Cos[
[2]
θ
]
[1]
ρ
[2]
ρ
+
2
[2]
ρ
+4
2
Sin[
[2]
θ
]
24+
2
[1]
ρ
+Cos[
[2]
θ
]
[1]
ρ
[2]
ρ
+
2
[2]
ρ

64
2
π
2
[1]
ρ
[2]
ρ
1+
2
[2]
ρ
1+
2
[1]
ρ
+2Cos[
[2]
θ
]
[1]
ρ
[2]
ρ
+
2
[2]
ρ

2
[1]
ρ
+2Cos[
[2]
θ
]
[1]
ρ
[2]
ρ
+
2
[2]
ρ
+4
2
Sin[
[2]
θ
]

Out[3]=
{
[1]
ρ
,
[2]
θ
,
[2]
ρ
}
SeeAlso
IntegrandDiagram
 
▪
WriteExplicit
 
▪
CountLoops
 
▪
Momentum
TechNotes
▪
Feynman Diagram Evaluation
RelatedGuides
▪
Phi4tools
""

© 2025 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com