Graph representation of particles

[Pants]

Howdy. I'm interested in finding connections between graph theory and particle physics, particularly where particles are represented as nodes on a graph. It's my understanding that this is not a unique idea.

Would anyone know where I can find some of these models? I'm trying to figure out if what I'm thinking of is workable or is a no-go from the start.

Thanks!
-Vince

 

[MathematicalPhysicist]

I don't know if it has been used for particle physics, but it has been used in condensed matter and quantum chaos, read more from here:

http://en.wikipedia.org/wiki/Quantum_graph

 

[MathematicalPhysicist]

BTW, the wiki page doesn't cite also the textbook by Reinhold Blumel, called Advanced QM which also includes a chapter on this topic of quantum graphs.

 

[Pants]

Thanks. I don't think that's quite what I'm looking for but it looks like a worthwhile thing to check out.

 

[S.Daedalus]

There's the 'quantum graphity' approach by Fotini Markopoulou and collaborators, see for instance this article; this has some ties with the string-net liquid of Xiao-Gang Wen and Michael Levin, see here for instance.

 

[Hepth]

Wow, 4 posts and no one mentions Feynman Diagrams!

http://en.wikipedia.org/wiki/Feynman_diagram