Estimation of the Lin-Yang bound of the least static energy of the Faddeev model
Abstract
Lin and Yang's upper bound EQ <= cQ(3/4) of the least static energy EQ 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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