Fermions, Skyrmions and the 3-Sphere (2009)
Goatham, Stephen W., Krusch, Steffen
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...
Recent Developments in the Skyrme Model (2009)
Krusch, Steffen, Roberts, Mark
In this talk, we describe recent developments in the Skyrme model. Our main focus is on discussing various effects which need to be taken into account, when calculating the properties of light atomic...
Exact moduli space metrics for hyperbolic vortices (2009)
Krusch, Steffen, Speight, Martin
Exact metrics on some totally geodesic submanifolds of the moduli space of static hyperbolic N-vortices are derived. These submanifolds, denoted \Sigma_{n,m}, are spaces of C_n-invariant vortex...
Quantization of Skyrmions (2006)
The Skyrme model is a nonlinear classical field theory which models the strong interaction between atomic nuclei. In order to compare the predictions of the Skyrme model with nuclear physics, it has...
Schrodinger-Chern-Simons Vortex Dynamics (2005)
Krusch, Steffen, Sutcliffe, Paul
We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the...
Finkelstein-Rubinstein constraints for the Skyrme model with pion masses (2005)
The Skyrme model is a classical field theory modelling the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is...
Spinning Skyrmions and the Skyrme Parameters (2005)
Battye, Richard A., Krusch, Steffen, Sutcliffe, Paul M.
The traditional approach to fixing the parameters of the Skyrme model requires the energy of a spinning Skyrmion to reproduce the nucleon and delta masses. The standard Skyrme parameters, which are...
Fermionic quantization of Hopf solitons (2005)
Krusch, Steffen, Speight, Martin
In this paper we show how to quantize Hopf solitons using the Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if their Hopf charge is odd. Symmetries of classical minimal...
Sphalerons in the Skyrme model (2004)
Krusch, Steffen, Sutcliffe, Paul
Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an...
Fermions coupled to Skyrmions on S^3 (2003)
This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly...
Homotopy of Rational Maps and the Quantization of Skyrmions (2002)
The Skyrme model is a classical field theory which models the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is...
Folding in the Skyrme Model (2001)
Houghton, Conor J., Krusch, Steffen
There are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU(2), and...
S^3 Skyrmions and the Rational Map Ansatz (2000)
This paper discusses multi-skyrmions on the 3-sphere with variable radius L using the rational map ansatz. For baryon number B = 3,...,9 this ansatz produces the lowest energy solutions known so far....