Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integrable models and the frontiers of physics?

  1. Dec 21, 2007 #1
    How important is the role of integrable models in today's and future development of theories of fundamental physics?

    Any examples?
     
  2. jcsd
  3. Dec 22, 2007 #2

    mjsd

    User Avatar
    Homework Helper

    i guess pretty much everything can be linked to integrable models, as long as you have some differential equations. Prime examples are QM, conformal field theory, statistical mechanics, topological defects etc.
     
  4. Dec 22, 2007 #3
    Furthermore, could anyone pinpoint me some examples of merging integrability with string theory? Perhaps in non-perturbative aspects of the theory?
     
  5. Dec 22, 2007 #4
    I'm not sure it is important for physics. If we did not know how to solve models exactly using e.g. the Yang-Baxter equation, Bethe Ansatz etc., we would still be able to deduce almost everything we know today about models in general using RG arguments, conformal symmetry etc. etc.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?