3 citations · 3 across the 3 of their papers we have counts for
3 papers
math-ph2007★ 3 cited
Skyrmion on a three--cylinder
Lukasz Bratek
The class of static, spherically symmetric, and finite energy hedgehog solutions in the SU(2) Skyrme model is examined on a metric three-cylinder. The exact analytic shape function…
math-ph2005
Understanding the 1-Skyrmion
Lukasz Bratek
It is shown how the appearance of the 1-skyrmion on the three-sphere of radius L can be understood quantitatively by analyzing spectrum of the Hessian at the identity solution. Pre…
math-ph2004
Linear stability analysis of hedgehogs in the Skyrme model on a three-sphere. Critical phenomena and spontaneously broken reflection symmetry
Lukasz Bratek
Linear stability analysis of the whole spectrum of static hedgehog solutions of the Skyrme model on the three-sphere of radius L is carried out. It turns out that only solutions th…