What is the Operator Product Expansion in Interacting Field Theory?

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Discussion Overview

The discussion focuses on the Operator Product Expansion (OPE) within the context of interacting field theory, particularly in relation to conformal field theory and the specific case of \(\lambda \phi^4\) theory. Participants seek clarification and explanations regarding the concept and its applications.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses a desire for a comprehensive explanation of OPE in interacting field theory, mentioning previous readings on renormalization and Weinberg.
  • Another participant asks if there is a specific question and references a well-known text ("the big yellow book" by Francesco).
  • A participant indicates a focus on conformal field theory and expresses difficulty in writing down the OPE for \(\lambda \phi^4\), stating uncertainty about how to begin.
  • One participant admits a lack of knowledge regarding OPEs for non-conformal theories.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants express varying levels of understanding and knowledge about OPEs, particularly in different theoretical contexts.

Contextual Notes

Participants have not provided specific definitions or assumptions regarding OPE, and there are unresolved questions about how to approach the topic, especially in non-conformal theories.

gullio
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hello,
I'm trying to find a good and exaustive explanation of operator product expansion.
I've read "renormalization" and weinberg but i continue to not understand ope in interacting field theory.
someone could help me?
 
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Do you have a specific question? Also, have you read the big yellow book (Francesco)?
 
Yes but explain only conformal field theory.
For example I'm not able to wright down the ope for \lamda \phi^4. I don't know how to start
 
Sorry, I don't know anything about OPEs for non-conformal theories.
 

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