How Do Particles Interact in Quantum Field Theory?

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Discussion Overview

The discussion revolves around the concept of particle interactions in Quantum Field Theory (QFT), specifically focusing on the meaning of coupling between particles and fields. Participants seek to clarify these concepts without delving into complex equations or detailed theoretical frameworks.

Discussion Character

  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants suggest that "couple" can be understood as "interact," using the example of W± particles interacting with the electromagnetic field.
  • One participant explains that in the Lagrangian formulation, coupling is represented by terms where fields are multiplied together, and that self-interaction terms arise from adding higher-order terms to a free scalar field.
  • Another participant provides an example stating that particles with electric charge couple to the electromagnetic field, while electrically neutral particles do not.
  • There is a suggestion that terminology varies, with some arguing that free fields couple while particles interact, and that saying a particle couples to a field is not appropriate in QFT.

Areas of Agreement / Disagreement

Participants express differing views on the terminology and conceptual understanding of coupling versus interaction, indicating that multiple competing views remain without a clear consensus.

Contextual Notes

Some limitations include the lack of formal definitions for coupling and interaction, as well as the absence of detailed mathematical treatment that could clarify these concepts further.

BucketOfFish
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I'm an experimentalist, so go easy on me... What does it mean for a particle to either couple or not couple to a field? I haven't taken a class in QFT yet, so please try to explain the general idea without any details or equations!
 
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As an experimentalist as well, my working understanding is that you may replace "couple" with "interact". E.g. W± couples with the electromagnetic field = W± interacts with the electromagnetic field.
 
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In the Lagrangian, the coupling between two fields is a term in which the two fields are multiplied together. A free scalar field has only up to quadratic terms, so if one adds cubic or higher order terms, those are sometimes said to be self-interaction terms. http://www.damtp.cam.ac.uk/user/tong/qft/three.pdf gives an example of a self-interaction term (Eq 3.5), and an example of an interaction between two different types of fields (3.7)
 
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BucketOfFish said:
I'm an experimentalist, so go easy on me... What does it mean for a particle to either couple or not couple to a field? I haven't taken a class in QFT yet, so please try to explain the general idea without any details or equations!

An example: particles with electric charge couple to the electromagnetic field. Electrically neutral particles do not couple to the electromagnetic field.
 
BucketOfFish said:
I'm an experimentalist, so go easy on me... What does it mean for a particle to either couple or not couple to a field? I haven't taken a class in QFT yet, so please try to explain the general idea without any details or equations!

The terminology is rather: free fields couple to each other, while particles interact with each other. So in QFT to say <a particle couples to a field> is illegal. Within classical electrodynamics we say <particles are acted upon by electromagnetic fields>.
 

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