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Prog. Theor. Phys. Vol. 116 No. 2 (2006) pp. 273-283
Estimation of the Lin-Yang Bound of the Least Static Energy of the Faddeev Model
Minoru Hirayama,1
Hitoshi Yamakoshi2 and
Jun Yamashita1
1Department of Physics, University of Toyama, Toyama 930-8555, Japan
2Toyama National College of Technology, Toyama 939-8630, Japan
(Received March 25, 2006)
Abstract:
Lin and Yang's upper bound EQ ≦c Q3/4
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.
URL :
http://ptp.ipap.jp/link?PTP/116/273/
DOI : 10.1143/PTP.116.273
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