Asymptotic behavior and symmetry of condensate solutions in electroweak theory

Robin Ming Chen; Yujin Guo; Daniel Spirn

doi:10.1007/s11854-012-0014-6

Asymptotic behavior and symmetry of condensate solutions in electroweak theory

Robin Ming Chen, Yujin Guo, Daniel Spirn

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	47-85
Number of pages	39
Journal	Journal d'Analyse Mathematique
Volume	117
Issue number	1
DOIs	https://doi.org/10.1007/s11854-012-0014-6
State	Published - Jun 2012

Bibliographical note

Funding Information:
∗R. M. C. was supported in part by NSF grant no. DMS-0908663. †D. S. was supported in part by NSF grant no. DMS-0707714 and NSF grant no. DMS-0955687.

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AU - Guo, Yujin

AU - Spirn, Daniel

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N2 - 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.

AB - 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.

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Asymptotic behavior and symmetry of condensate solutions in electroweak theory

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