Yang-Mills Theory

1. Qubix

82
What exactly is a Yang-Mills Theory? Is it a general theory, based on SU(N) symmetry, which can then be applied for particular cases (ElectroWeak, Chromodynamics) ? Is it like a general mathematical model of gauge theory ?

Staff: Mentor

Yes its a gauge theory:

http://en.wikipedia.org/wiki/Yang-Mills_theory

3. karlzr

131
Not necessarily SU(N). It can also be like SO(N), Sp(N), etc. The idea is we need to introduce gauge fields to keep the theory gauge invariant.

4. dextercioby

12,324
The gauge group of the field theory needs to be nonabelian, else it would just be quantum electrodynamics.