Asymptotic behavior and symmetry of condensate solutions in electroweak theory

Autor:	Daniel Spirn, Yujin Guo, Robin Ming Chen
Rok vydání:	2012
Předmět:	Condensed Matter::Quantum Gases Partial differential equation Condensed Matter::Other General Mathematics Electroweak interaction Dynamical system Symmetry (physics) Cosmic string Elliptic curve Nonlinear system Quantum mechanics Analysis Mathematical physics Mathematics
Zdroj:	Journal d'Analyse Mathématique. 117:47-85
ISSN:	1565-8538 0021-7670
DOI:	10.1007/s11854-012-0014-6
Popis:	We study condensate solutions of a nonlinear elliptic equation in ℝ2, which models a W-boson with a cosmic string background. The existence of condensate solutions and an energy identity are discussed, based on which the refined asymptotic behavior of condensate solutions is established by studying the corresponding evolution dynamical system. Applying the “shrinking-sphere” method, we also prove the symmetry under inversions of condensate solutions for some special cases.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d5f0b42b85c46db23da8f272691a0230 https://doi.org/10.1007/s11854-012-0014-6 Zobrazit plný text záznamu Full text from SpringerLink