Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
GSberveglieri`Phi4tools`
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
Needs["GSberveglieri`Phi4tools`"]
Let's look at the diagram for for the theory with =3 quartic vertices, let's visualize it and print its symmetry factor for the model:
nd
2
(2)
Γ
4
ϕ
v4
O(Ν)
In[2]:=
[2,0,3,1],
[2,0,3,1]
 | VisualizeDiagram |
| SymmetryFactorDiagram |
Out[2]=
,++
4
9
4Ν
9
2
Ν
9
Using the function with the option "Tensor"->"O(N)" is possible to get both these information at the same time, for example
In[3]:=
 | InformationDiagram |
Out[3]=
|
The actual contribution for a given Feynman diagram is given by the product between the value of the diagram and symmetry factor that can be printed with and , respectively. For example at the order for
4
λ
(2)
Γ
In[4]:=
Simplify
[2,0,4].
[2,0,4]
| ValueDiagram |
| SymmetryFactorDiagram |
Out[4]=
(10.6771231575200337492±8.×)+Ν((8.72385710756608389503±6.×)+Ν((1.90029513235515074179±9.×)+(0.1038236839760586157907245574±1.2×)Ν))
-19
10
-19
10
-20
10
-27
10
We could also look at the theory with O(N) model broken to cubic symmetry with the option "Tensor"->"Cubic", for example
In[5]:=
| InformationDiagram |
Out[5]=
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""