Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Stępień, Ł. T."'
Autor:
Stȩpień, Ł. T.
Publikováno v:
J. High Energ. Phys. 2020, 140 (2020)
We show that the BPS Skyrme model, as well as its (2+1) dimensional baby version (restricted), can be coupled with an impurity in the BPS preserving manner. The corresponding Bogomolny equations are derived.
Comment: arXiv admin note: substantia
Comment: arXiv admin note: substantia
Externí odkaz:
http://arxiv.org/abs/1912.10173
Autor:
Stȩpień, Ł. T.
Publikováno v:
Acta Phys. Pol. B, vol. 50, 65 (2019)
Using the concept of strong necessary conditions (CSNC), we derive a complete decomposition of the minimal Skyrme model into a sum of three coupled BPS submodels with the same topological bound. The bounds are saturated if corresponding Bogomolny equ
Externí odkaz:
http://arxiv.org/abs/1804.09020
Autor:
Stępień, T. J., Stępień, Ł. T.
Publikováno v:
Journal of Mathematics and System Science, vol. 7, 43 - 55 (2017)
In this paper we establish that the well-known Arithmetic System is consistent in the traditional sense. The proof is done within this Arithmetic System.
Externí odkaz:
http://arxiv.org/abs/1803.11072
Autor:
Stepien, L. T.
Using the concept of strong necessary conditions (CSNC), we derive Bogomolny equations and BPS bounds for two modifications of the gauged baby BPS Skyrme model: the nonminimal coupling to the gauge field and k-deformed model. In particular, we study,
Externí odkaz:
http://arxiv.org/abs/1612.04812
Autor:
Stepien, T. J., Stepien, L. T.
Publikováno v:
Journal of Mathematics and System Science 5 (2015) 364 - 368
This paper is a continuation of the paper [16]. Namely, in [16] we have introduced, among others, the definition of the atomic entailment and we have constructed the system $\overset\sqcap S$, which is based on the atomic entailment. In this paper we
Externí odkaz:
http://arxiv.org/abs/1603.09334
Autor:
Stepien, T. J., Stepien, L. T.
Publikováno v:
Journal of Mathematics and System Science, vol. 5 (2015) 60 - 71
In this paper we put forward a new solution of the well-known problem of relevant logics, i.e. we construct an atomic entailment. Hence, we construct a system of predicate calculus based on the atomic entailment. Next, we establish the definition of
Externí odkaz:
http://arxiv.org/abs/1603.06621
Autor:
Stepien, L. T.
We present a systematic tool of derivation of the Bogomolny equation for the BPS Skyrme model. Furthermore, we find a generalization of the Bogomolny equation to the case corresponding with a non-zero value of the external pressure. The method is bas
Externí odkaz:
http://arxiv.org/abs/1512.01231
Autor:
Stȩpień, Ł. T.
Some new classes of exact solutions (so-called functionally-invariant solutions) of the elliptic and hyperbolic complex Monge-Amp$\grave{e}$re equations and of the second heavenly equation, mixed heavenly equation, asymmetric heavenly equation, evolu
Externí odkaz:
http://arxiv.org/abs/1208.2905
Autor:
Stȩpień, Ł. T.
Publikováno v:
Acta Phys. Pol. {\bf B 46}, pp. 999 - 1023 (2015)
The Bogomolny decompositions (Bogomolny equations) for the gauged baby Skyrme models: restricted and full one, in (2+0)-dimensions, are derived, for some general classes of the potentials. The conditions, which must be satisfied by the potentials, fo
Externí odkaz:
http://arxiv.org/abs/1205.1017
Autor:
Stȩpień, Ł. T.
Publikováno v:
Geometric Methods in Physics, XXXI Workshop, Bia{\l}owie\.{z}a, Poland, June 24-30, 2012, Series: Trends in Mathematics, pp. 229 - 237, Springer Basel 2013
We derive the Bogomolny decompositions (Bogomolny equations) for: full baby Skyrme model and for its restricted version (so called, pure baby Skyrme model), in (2+0) dimensions, by using so called, concept of strong necessary conditions. It turns out
Externí odkaz:
http://arxiv.org/abs/1204.6194