Mathematics of Yang-Mills theory

Question

I am looking for a preferable introductory text on Yang-Mills theory in differential forms language.

I have searching for a rigorous definition of this theory on Manifolds for mathematicians. Physics book that I have seen so far do not go through details. So I am asking for good references qualifying these properties.

It would be very nice to hearing from you.

Answer 1

Here are some resources on Yang-Mills theory:

• Applications of differential geometry to physics
• Geometric foundations of classical Yang-Mills theory
• Quantum Yang-Mills theory
• Geometry of gauge fields (Springer)
• Yang-Mills theory and geometry

While going through some of these papers, consider skimming through some of their references also.