Estimation of the Lin-Yang bound of the least static energy of the Faddeev model

Details Estimation of the Lin-Yang bound of the least static energy of the Faddeev model Estimation of the Lin-Yang bound of the least static energy of the Faddeev model

2006-02-20

arxiv.org/abs/hep-th/0602192v3

Prog.Theor.Phys.116:273-283,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures

Scientific paper

10.1143/PTP.116.273

Lin and Yang's upper bound E_Q <= cQ^(3/4) of the least static energy E_Q of
the Faddeev model in a sector with a fixed Hopf index Q is investigated. By
constructing an explicit trial configuration for the Faddeev field n, a
possible value of the coefficient c is obtained numerically, which is much
smaller than the value obtained quite recently by analytic discussions.

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