Asymptotic behavior and symmetry of condensate solutions in electroweak theory |
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| Authors: | Robin Ming Chen Yujin Guo Daniel Spirn |
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| Institution: | 1.Department of Mathematics,University of Pittsburg,Pittsburg,USA;2.Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan,P.R. China;3.School of Mathematics,University of Minnesota,Minneapolis,USA |
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| 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. |
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