An Introduction To Quantum Field Theory - M. Peskin, D. Schroeder (Perseus, 1995) · Problem 16.1
Quantization of Non-Abelian Gauge Theories — M. Peskin, D. Schroeder (Perseus, 1995)
Physics — QFT · non-abelian-gauge-quantization
Problem
Arnowitt-Fickler gauge. Perform the Faddeev-Popov quantization of Yang-Mills theory in the gauge A3a=0, and write the Feynman rules. Show that there are no propagating ghosts, and that the gauge field is reduced to two positive-metric degrees of freedom. (Although the gauge condition violates Lorentz invariance, this is restored in the calculation of gauge-invariant S-matrix elements.)