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  • I'm wondering why correlation function is a more fundamental object in conformal field theory than the notion of particle. By conformal symmetry, I think we can still discuss about massless particle.

  • I'm wondering if there will be bound state and scattering state, those exists in quantum mechanics scattering theory, will they still work in CFT?

  • Also, I'm wondering why don't we draw Feynman diagram in CFT and why CFT don't have Lagrangian?

Qmechanic
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feng lin
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    The notion of particles and correlation functions are not mutually exclusive. Also, CFTs can have Lagrangians, indeed the first example one encounters is usually a mass less scalar. – JamalS Jul 01 '20 at 12:44
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    Some CFTs have Lagrangians, some don't. Not needing to work with a Lagrangian is part of the power of CFT. – 4xion Jul 02 '20 at 02:16
  • correlation functions are fundamental in QFT too, but here's an old post on particles in CFT: https://physics.stackexchange.com/questions/78552/why-are-there-no-particles-in-conformal-theories – 4xion Jul 02 '20 at 02:18

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