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of 99
pro vyhledávání: '"Han, Xiaosen"'
Autor:
Han, Xiaosen, Su, Guange
Q-balls are non-topological solitons in a large family of field theories. We focus on the existence of $U(1)$ gauged Q-balls for a field theory with sixth-order potential. The problem can be reduced to proving the existence of critical points for som
Externí odkaz:
http://arxiv.org/abs/2308.06458
Autor:
Han, Xiaosen, Zhang, Kexin
In this paper, the two-component Ginzburg-Landau (TCGL) model, which is an important research object in mathematics and physics of two scalar fields with $U(1)\times U(1)$ symmetry, is studied in detail by the shooting method and the fixed point theo
Externí odkaz:
http://arxiv.org/abs/2111.06600
Publikováno v:
Journal of Mathematical Physics 62 (2021) 103503
In this paper we first formulate a dually gauged harmonic map model, suggested from a product Abelian Higgs field theory arising in impurity-inspired field theories, and obtain a new BPS system of equations governing coexisting vortices and antivorti
Externí odkaz:
http://arxiv.org/abs/1902.09448
Autor:
Han, Xiaosen, Tarantello, Gabriella
In this paper we study the existence of multiple solutions for the non-Abelian Chern--Simons--Higgs $(N\times N)$-system: \[ \Delta u_i=\lambda\left(\sum_{j=1}^N\sum_{k=1}^N K_{kj}K_{ji}\re^{u_j}\re^{u_k}-\sum_{j=1}^N K_{ji}\re^{u_j}\right)+4\pi\sum_
Externí odkaz:
http://arxiv.org/abs/1805.09970
Autor:
Han, Xiaosen, Tarantello, Gabriella
In this paper we study the existence of vortex-type solutions for a system of self-dual equations deduced from the mass-deformed Aharony--Bergman--Jafferis--Maldacena (ABJM) model. The governing equations, derived by Mohammed, Murugan, and Nastse und
Externí odkaz:
http://arxiv.org/abs/1605.07219
Autor:
Han, Xiaosen, Yang, Yisong
Publikováno v:
Journal of High Energy Physics 2 (2016) 046
Inspired by magnetic impurity considerations some broad classes of Abelian Higgs and Chern--Simons--Higgs BPS vortex equations are derived and analyzed.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1510.07077
Autor:
Han, Xiaosen, Yang, Yisong
Publikováno v:
Trans. Amer. Math. Soc. 368 (2016), 3565-3590
An existence theorem is established for the solutions to the non-Abelian relativistic Chern--Simons--Higgs vortex equations over a doubly periodic domain when the gauge group $G$ assumes the most general and important prototype form, $G=SU(N)$
Externí odkaz:
http://arxiv.org/abs/1505.03369
Autor:
Han, Xiaosen, Yang, Yisong
Publikováno v:
Nuclear Physics B Volume 898, September 2015, Pages 605-626
We study a recently developed product Abelian gauge field theory by Tong and Wong hosting magnetic impurities. We first obtain a necessary and sufficient condition for the existence of a unique solution realizing such impurities in the form of multip
Externí odkaz:
http://arxiv.org/abs/1504.03053
Publikováno v:
Communications in Mathematical Physics 343 (2016) 701--724
It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern--Simons--Higgs vortex equations makes it difficult to develop an existence theory when the underlying Cartan matrix $K$ of the equations is that of a genera
Externí odkaz:
http://arxiv.org/abs/1503.08330
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