Consequences of Yang-Mills and Mass Gap?

  • Thread starter erkant
  • Start date
  • #1
20
0
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?
 

Answers and Replies

  • #2
tom.stoer
Science Advisor
5,766
162
are you referring to the millenium problem http://www.claymath.org/millennium/Yang-Mills_Theory/ [Broken]
 
Last edited by a moderator:
  • #3
20
0
Yes, I'm referring to the Millennium Problem.
 
  • #4
tom.stoer
Science Advisor
5,766
162
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 ;-)
 
  • #5
20
0
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.
 

Related Threads on Consequences of Yang-Mills and Mass Gap?

  • Last Post
3
Replies
62
Views
14K
Replies
6
Views
4K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
12
Views
4K
  • Last Post
Replies
1
Views
839
Top