41 citations · 169 across the 18 of their papers we have counts for
18 papers
Structural stability of the RG flow in the Gross-Neveu model
J. Dimock, Cheng Yuan
We study flow of renormalization group (RG) transformations for the massless Gross-Neveu model in a non-perturbative formulation. The model is defined on a d=2 dimensional Euclidea…
Stability for QED in d=3: an overview
J. Dimock
We report on a result on quantum electrodynamics on a three dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spa…
Quantum radiation from a classical point source
J. Dimock
We study the radiation of photons from a classical charged particle. We particularly consider a situation where the particle has a constant velocity in the distant past, then is ac…
A Feynman-Kac formula for magnetic monopoles
J. Dimock
We consider the quantum mechanics of a charged particle in the presence of Dirac's magnetic monopole. Wave functions are sections of a complex line bundle and the magnetic potentia…
Scattering on the Dirac Magnetic Monopole
J. Dimock
We construct wave operators and a scattering operator for the scattering of a charged particle on the Dirac magnetic monopole. The analysis features a two Hilbert space approach in…
Nonperturbative renormalization of scalar QED in d=3
J. Dimock
For scalar QED on a three-dimensional toroidal lattice with a fine lattice spacing we consider the renormalization problem of choosing counter terms depending on the lattice spacin…