Quantization of Non-Abelian Gauge Theories

Barry McFarland will lead a session on Quantization of Non-Abelian Gauge Theories.

The goal of these set of talks is to make precise the claim that there are no distinct degrees of freedom in the UV completion of quantum gravity. But this week will focus on good old fashion quantum field theory...the non-abelian kind, that is. A quick recap of non-abelian gauge theories will be followed by discussion of two different ways to quantize the theory: 1) via the Path Integral and what is known as the Faddeev-Popov determinant (beware of ghosts), and 2) the canonical quantization / Hamiltonian method. The former is much easier in the case of Yang-Mills theories, but looking at the canonical method will lay the groundwork for discussing constraints in gauge theories and ultimately entanglement and information in quantum gravity.