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

Minoru Hirayama·Hitoshi Yamakoshi·Jun Yamashita
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Abstract

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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Minoru Hirayama, Hitoshi Yamakoshi, Jun Yamashita. 2006-09-13. Estimation of the Lin-Yang bound of the least static energy of the Faddeev model. https://doi.org/10.1143/ptp.116.273

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