Dirac particle in external non-abelian gauge field (Q2396922)

Summary: The Green function of a Dirac particle in interaction with a non-Abelian \(SU(N)\) gauge field exactly and analytically determined via the path integral formalism by using the approach so-called ``global projection.'' The essential steps in the calculation are the choice of a convenient gauge (Lorentz gauge) and the introduction of two constraints, \(\varphi =kx\) (related to space) and Grassmannian \(\eta =k\psi\) (related to Dirac matrices). Furthermore, it is shown that certain selected equations obtained during the integrations can also be classically derived.