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Consequences of Yang-Mills and Mass Gap?

  1. Jul 25, 2012 #1
    What are the consequences of a possible solution to Yang-Mills existence and mass gap problem? Are the consequences only physical or they will also have applications to other branches of science or life? If yes, what are they?
     
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  3. Jul 26, 2012 #2

    tom.stoer

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    are you referring to the millenium problem http://www.claymath.org/millennium/Yang-Mills_Theory/ [Broken]
     
    Last edited by a moderator: May 6, 2017
  4. Jul 26, 2012 #3
    Yes, I'm referring to the Millennium Problem.
     
  5. Jul 26, 2012 #4

    tom.stoer

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    I don't think that there are any new physical consequences. We already see asymptotic freedom, color confinement, chiral symmetry breaking; we are able to calculate hadron masses, form factoprs etc. on the lattice with < 5% deviation theor. - exp.

    What's missing is a rigorous mathematical definition (or at least a proof of existence) of quantized non-abelian gauge theories and a rigorous derivation of the results. Confinement is still purely understood, most calculations are done numerically, ...

    That's why it's a mathematical millenium problem ;-)
     
  6. Jul 27, 2012 #5
    Thanks for your opinion tom.stoer. I was thinking the same thing, but I was just curious whether it was going to have applications to other branches of science or it will be purely mathematical.
     
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