Graph representation of particles

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Discussion Overview

The discussion centers around the exploration of connections between graph theory and particle physics, specifically regarding the representation of particles as nodes on a graph. Participants are seeking models and insights into the applicability of these concepts within the field.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses interest in the intersection of graph theory and particle physics, questioning the viability of representing particles as nodes on a graph.
  • Another participant mentions that graph theory has been applied in condensed matter and quantum chaos, suggesting a resource for further reading.
  • A subsequent post references a textbook that discusses quantum graphs, indicating that there may be relevant literature on the topic.
  • One participant acknowledges the suggested resources but indicates they may not align with their specific inquiry.
  • A different approach is introduced, mentioning the 'quantum graphity' concept and its connections to string-net liquids, providing additional avenues for exploration.
  • Another participant points out the omission of Feynman Diagrams in the discussion, suggesting it as a relevant concept in the context of particle representation.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the applicability of graph theory to particle physics, with multiple competing views and approaches being presented.

Contextual Notes

Some participants express uncertainty about the relevance of suggested models to their specific interests, indicating a potential limitation in the applicability of the discussed concepts.

Who May Find This Useful

Individuals interested in the intersection of graph theory and particle physics, as well as those exploring theoretical models in condensed matter and quantum mechanics.

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

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