47 citations · 256 across the 17 of their papers we have counts for
5 papers · 2 filters
Particle creation via relaxing hypermagnetic knots
C. Adam, B. Muratori, C. Nash
We demonstrate that particle production for fermions coupled chirally to an Abelian gauge field like the hypercharge field is provided by the microscopic mechanism of level crossin…
Zero modes in finite range magnetic fields
C. Adam, B. Muratori, C. Nash
We find a class of Fermion zero modes of Abelian Dirac operators in three dimensional Euclidean space where the gauge potentials and the related magnetic fields are nonzero only in…
On non- solutions to the Seiberg-Witten equations
C. Adam, B. Muratori, C. Nash
We show that a previous paper of Freund describing a solution to the Seiberg-Witten equations has a sign error rendering it a solution to a related but different set of equations.…
Multiple zero modes of the Dirac operator in three dimensions
C. Adam, B. Muratori, C. Nash
One of the key properties of Dirac operators is the possibility of a degeneracy of zero modes. For the Abelian Dirac operator in three dimensions the construction of multiple zero…
Hopf instantons and the Liouville equation in target space
C. Adam, B. Muratori, C. Nash
We generalise recent results on Hopf instantons in a Chern--Simons and Fermion theory in a fixed background magnetic field. We find that these instanton solutions have to obey the…