Book with solutions to Yang Mills equations?

[jonjacson]

Hello,

I have read some books and I found some Lagrangian, group, bundle, manifold comments to find the equations... but Is there any book where the actual equations are solved?

In other words, Where can I read about the MEANING of the equations? Instead of the method to find them.

Obviously when I talk about solutions, I mean numericall solutions.

 

[vanhees71]

I'm not sure I understand what you mean. Usually gauge theories are used as quantum field theories (aka the Standard Model). There you have perturbative calculations and, for QCD, lattice calculations (both in vacuo and thermal).

Of course, classical electrodynamics is a classical Abelian gauge theory, but that's not Yang-Mills, which is non-Abelian gauge theory.

The classical Yang-Mills theory is applied to QCD in relativistic heavy-ion physics. There are tons of papers and also numerical calculations. Just look for "Color Glass Condensate" or "Glasma".

The only textbook which discusses the classical non-Abelian theories to some extent is in the excellent theory-textbook series by Scheck. The corresponding volume is

F. Scheck, Classical Field Theory, 2nd edition, Springer (2018)