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`
Propagator
​
​
Propagator
[q]
represents the scalar propagator of momentum
q
.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
Needs["GSberveglieri`Phi4tools`"]
Let's look at the diagram for
(4)
Γ
for the
4
ϕ
theory with
v4
=2 quartic vertices, let's visualize it and print its integrand:
In[2]:=

VisualizeDiagram
[4,0,2,1],
IntegrandDiagram
[4,0,2,1]
Out[2]=

,
2
[[1]]
2

With the function
WriteExplicit
we can substitute the symbol
[q]
with its expression
In[3]:=
WriteExplicit

2
[[1]]
2

Out[3]=
1
2
2
1+
2
[1]
ρ

where
[1]
ρ
is the radial component of the
Momentum
[1]
in spherical coordinates.
SeeAlso
Momentum
 
▪
BubbleSubdiagram
 
▪
SunsetSubdiagram
 
▪
TriangleSubdiagram
 
▪
SquareSubdiagram
 
▪
VisualizeDiagram
 
▪
IntegrandDiagram
 
▪
WriteExplicit
TechNotes
▪
Feynman Diagram Evaluation
RelatedGuides
▪
Phi4tools
""

© 2025 Wolfram. All rights reserved.

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