Strongly interacting vs Weakly interacting particles

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SUMMARY

The discussion clarifies the distinction between strongly interacting and weakly interacting systems in the context of perturbative calculations. Weakly interacting systems allow for perturbative approximations, which are often asymptotically convergent, while strongly interacting systems do not permit such calculations. The conversation highlights the use of Gaussian theories as a basis for expansions, leading to established methodologies like Feynman diagrams and Dyson equations. This foundational understanding is crucial for interpreting complex physics papers.

PREREQUISITES
  • Understanding of perturbative calculations in quantum field theory
  • Familiarity with Gaussian theories and their applications
  • Knowledge of Feynman diagrams and Dyson equations
  • Basic concepts of quantum mechanics and particle physics
NEXT STEPS
  • Study perturbation theory in quantum field theory
  • Explore Gaussian integrals and their significance in physics
  • Learn about Feynman diagrams and their role in particle interactions
  • Investigate Dyson series and their applications in quantum mechanics
USEFUL FOR

This discussion is beneficial for physicists, mathematicians, and researchers involved in theoretical physics, particularly those focusing on quantum field theory and particle interactions.

deepurple
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I am a mathematician, and I am trying to figure out a physics paper for my research. I am not a physicist but I have some college background on physics.

I am trying to understand the difference between strongly interacting systems compared to weakly interacting systems.. These are used very ubiquitously in the paper, and they seem to be obvious for the right audience.

Could you please brief me on the subject? ( I hope I post to the correct forum)
 
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Essentially, something is weakly interacting if you can perform a perturbative calculation. More accurately, a perturbative approximation, since most of the time the expansion is only asymptotically convergent. Strongly interacting is whenever this is not possible.

Usually, we perform expansions about Gaussian theories, since they are exactly solvable. This then leads to the usual formalisms with Feynman diagrams or Dyson equations. In principle however, there is nothing to stop you doing perturbation theory about other points of theory space.
 
Thanks for the response.. This was all I need
 

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