Yang-Mills theory

From Physics wiki

Contents 1 Quantization 2 Gauges 3 Solitons 4 References

Quantization

• Hamiltonian quantization
• Path-integral quantization
• Faddeev-Popov procedure
• Gauge fixing
• Faddeev-Popov ghosts
• 1+1D Yang-Mills theory
• 2+1D Yang-Mills
• 3+1D Yang-Mills

• Gribov problem

• Large N limit

Gauges

• Maximal Abelian gauge

Solitons

• 't Hooft-Polyakov monopole

References

Further reading: ^{[1] [2] [3]}

1. ↑ C. N. Yang and R. L. Mills, Conservation of Isotopic Spin and Isotopic Gauge Invariance, Phys. Rev. 96, 191 - 195 (1954)
2. ↑ R. Jackiw, Introduction to the Yang-Mills quantum theory, Reviews of Modern Physics 52 (1980) 661–673.
3. ↑ Coleman, S. (1977). "There are no classical glueballs". Communications in Mathematical Physics 55: 113-116. DOI:10.1007/BF01626513.