Consequences of Yang-Mills and Mass Gap?

[erkant]

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?

 

[tom.stoer]

are you referring to the millenium problem http://www.claymath.org/millennium/Yang-Mills_Theory/

 

[erkant]

Yes, I'm referring to the Millennium Problem.

 

[tom.stoer]

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 ;-)

 

[erkant]

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.