A Some basic questions about effective field theory (EFT)

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The discussion revolves around clarifications on terminologies and concepts related to effective field theory (EFT). The participant expresses confusion after studying various textbooks and review articles. Specific questions are raised regarding the foundational principles and applications of EFT. The need for clear explanations and examples is emphasized to enhance understanding. The thread highlights the complexity of EFT and the importance of precise language in discussing theoretical physics.
Elmo
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Concerning the operator product expansion and the expansion of the heavy propagator
I had been studying this topic from various textbooks and review articles and I am confused about some terminologies and concepts. The question I have typed in this PDF.

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[Mentor Note -- Added screenshot of PDF contents]
 

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