Classical Yang?Mills theory in condensed matter physics

@article{Berche2013ClassicalYT,
  title={Classical Yang?Mills theory in condensed matter physics},
  author={Bertrand Berche and Ernesto Medina},
  journal={European Journal of Physics},
  year={2013},
  volume={34},
  pages={161-180}
}
Gauge field theory approaches have been used extensively in recent times to discuss the physical consequences of spin–orbit interactions in condensed matter physics. An SU(2)×U(1) gauge theory is very naturally borne out and provides an illustrative example of classical Yang–Mills field theory at work. This approach may serve as an exemplification of non-Abelian field theories for students in a general physics curriculum. It allows one to introduce discussions on fundamental ideas like Noether… 

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