Berry Phase and Dissipation of Topological Singularities

TL;DR

This paper derives the Berry phase and dissipation effects for vortices in fermionic superfluids using a path integral approach, clarifying their independent roles in vortex dynamics.

Contribution

It provides a transparent derivation of vortex Berry phase and dissipation from microscopic theory, highlighting their mutual independence.

Findings

Berry phase and dissipation are derived separately in vortex dynamics.

The derivation confirms the independence of transverse force and friction.

Microscopic fermionic superfluid theory underpins the effective vortex action.

Abstract

We outline a path integral derivation of both the transverse force, the Berry phase, and friction for a vortex from the microscopic fermionic superfluid theory. The derivation manifests transparently the mutual independence of the Berry phase and dissipative terms in the effective vortex action.