91 citations · 194 across the 8 of their papers we have counts for
7 papers · 1 filter
Hamiltonian quantization of solitons in the quantum field theory
David M. A. Stuart
We first carry out the soliton sector quantization of the spatially cut-off theory with double well potential in the semiclassical limit, deriving the nonrelativistic S…
Small amplitude solitary waves in the Dirac-Maxwell system
Andrew Comech, David Stuart
We study nonlinear bound states, or solitary waves, in the Dirac-Maxwell system proving the existence of solutions in which the Dirac wave function is of the form ,…
The Schwinger model on : Hamiltonian formulation, vacuum and anomaly
David M. A. Stuart
We present a Hamiltonian formulation of the Schwinger model on the circle in Coulomb gauge as a semi-bounded self-adjoint operator which is invariant under the modular group ${\cal…
Notes on the Schwinger model: regularization and gauge invariance
David M. A. Stuart
The point-splitting computation of the gauge invariant Hamiltonian for the Schwinger model on the circle in a positive energy representation is presented.
Existence and Newtonian limit of nonlinear bound states in the Einstein-Dirac system
David Stuart
An analysis is given of particlelike nonlinear bound states in the Newtonian limit of the coupled Einstein-Dirac system introduced by Finster, Smoller and Yau. A proof is given of…
Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
Sophia Demoulini, David Stuart
We study a nonlinear system of partial differential equations in which a complex field (the Higgs field) evolves according to a nonlinear Schroedinger equation, coupled to an elect…