3 research outputs found
Dynamics of multi-kinks in the presence of wells and barriers
Sine-Gordon kinks are a much studied integrable system that possesses
multi-soliton solutions. Recent studies on sine-Gordon kinks with
space-dependent square-well-type potentials have revealed interesting dynamics
of a single kink interacting with wells and barriers. In this paper, we study a
class of smooth space-dependent potentials and discuss the dynamics of one kink
in the presence of different wells. We also present values for the critical
velocity for different types of barriers. Furthermore, we study two kinks
interacting with various wells and describe interesting trajectories such as
double-trapping, kink knock-out and double-escape.Comment: 17 pages, 7 figure
Fermions, Skyrmions and the 3-Sphere
This paper investigates a background charge one Skyrme field chirally coupled
to light fermions on the 3-sphere. The Dirac equation for the system commutes
with a generalised angular momentum or grand spin. It can be solved explicitly
for a Skyrme configuration given by the hedgehog form. The energy spectrum and
degeneracies are derived for all values of the grand spin. Solutions for
non-zero grand spin are each characterised by a set of four polynomials. The
paper also discusses the energy of the Dirac sea using zeta function
regularization.Comment: 19 pages, 2 figure