Nonperturbative aspects of Yang-Mills theory

Understand

In this thesis, several aspects of Yang-Mills theory are studied.

• It begins with the constrained quantization in the Coulomb gauge, using the Dirac bracket formalism.
• A nonperturbative analysis of the infrared asymptotics of propagators in any spatial dimension follows, and a connection to the Landau gauge is given.
• In the Coulomb gauge Hamiltonian approach, a linearly rising static color Coulomb potential is found, along with an infrared diverging gluon energy, both signaling confinement.