Conservation Laws in a First Order Dynamical System of Vortices
N.S.Manton, S.M.Nasir
TL;DR
This paper investigates gauge-invariant conservation laws for linear and angular momenta in a 2+1D vortex model, comparing them with moduli space results, revealing insights into vortex dynamics in superconductivity.
Contribution
It introduces gauge-invariant conservation laws for vortex momenta in a first order dynamical system, linking them to fluid vortex analogies and moduli space approaches.
Findings
Conservation laws expressed as vorticity moments.
Comparison with moduli space approximation.
Insights into vortex dynamics in superconductivity.
Abstract
Gauge invariant conservation laws for the linear and angular momenta are studied in a certain 2+1 dimensional first order dynamical model of vortices in superconductivity. In analogy with fluid vortices it is possible to express the linear and angular momenta as low moments of vorticity. The conservation laws are compared with those obtained in the moduli space approximation for vortex dynamics.
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