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Classical and Quantum Mechanics of Free κ-Relativistic Systems. (1995)
Book Chapter
Zakrzewski, W., Lukierski, J., & Ruegg, H. (1995). Classical and Quantum Mechanics of Free κ-Relativistic Systems. In J. Lukierski, Z. Popowicz, & J. Sobczyk (Eds.), Quantum groups : formalism and applications : XXX Karpacz Winter School of Theoretical Physics, Karpacz, Poland, 14-26 February 1994 (539-554). Polish Scientific Publishers

We consider the Hamiltonian and Lagrangian formalism describing free κ-relativistic particles with their four-momenta constrained to the κ-deformed mass shell. We study the formalism with commuting as well as noncommuting (i.e., with nonvanishing Poi... Read More about Classical and Quantum Mechanics of Free κ-Relativistic Systems..

Some Aspects of Soliton Unwindings. (1996)
Book Chapter
Piette, B., & Zakrzewski, W. (1996). Some Aspects of Soliton Unwindings. In B. Jancewicz, & J. Sobczyk (Eds.), From Field Theory to Quantum Groups: birthday volume dedicated to Jerzy Lukierski (275-285). World Scientific Publishing. https://doi.org/10.1142/9789812830425_0018

We investigate the unwindings of solitons as seen in many numerical simulations. We study a simple model in (2+1) dimensions which involves two scalar fields ø1, ø2 with an interaction term which favours the fields to lie on a unit circle (i.e. to sa... Read More about Some Aspects of Soliton Unwindings..

Mass Terms in the Skyrme Model (2006)
Presentation / Conference Contribution
Kopeliovich, V., Piette, B., & Zakrzewski, W. (2006). Mass Terms in the Skyrme Model.

We consider various forms of the mass term for the Skyrme model and their implications on the properties of baryonic states. We show that modifications of the mass term, without changing the asymptotic behaviour of the profile function at large r, ca... Read More about Mass Terms in the Skyrme Model.

Boundary confining dualities and Askey-Wilson type q -beta integrals (2023)
Journal Article
Okazaki, T., & Smith, D. J. (2023). Boundary confining dualities and Askey-Wilson type q -beta integrals. Journal of High Energy Physics, 2023(8), Article 048. https://doi.org/10.1007/jhep08%282023%29048

We propose confining dualities of N = (0, 2) half-BPS boundary conditions in 3d N = 2 supersymmetric SU(N), USp(2n) and SO(N) gauge theories. Some of these dualities have the novel feature that one (anti)fundamental chiral has Dirichlet boundary... Read More about Boundary confining dualities and Askey-Wilson type q -beta integrals.