Consequences of spontaneous and anomalous symmetry breaking for the orbital and mass flow hydrodynamics of 3He-A

In this thesis the author addresses three problems associated with the mass flow and orbital hydrodynamics of 3He-A. The first concerns the form of the T = 0; and the third involves a longstanding disagreement between past calculations of the intrinsic orbital angular momentum in 3He-A. These problems are more fully described in chapter 1 along with a brief review of the generalized Hartree-Fock approach to the Bardeen-Cooper-Schrieffer theory of superconductivity. In chapter 2 the author describes the formulation of the quasiparticle dynamics. In chapter 3 the author demonstrates the concurrence of anomalous symmetry breaking in 3He-A, and in chapter 4 it is shown how the first two problems can be understood as consequences of this anomalous symmetry breaking. In chapter 5 the author calculates the intrinsic orbital angular momentum via a Berry phase argument and also through a calculation that is careful to account for backflow currents which are necessary for the maintenance of particle number conservation in the superfluid phase. On the basis of the latter calculation it is proposed that an explanation for the disagreement in past calculations of the intrinsic orbital angular momentum in 3He-A