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19942012
most citedEstimation of the Lin-Yang bound of the least static energy of the Faddeev model

23 citations · 98 across the 18 of their papers we have counts for

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16 papers · 1 filter

hep-th2009★ 2 cited

Cross-fertilization of Ferreira's Hopfions And Electromagnetic Knots

Chang-Guang Shi, Minoru Hirayama

The interrelation between Ferreira's Hopf solitons of a conformal nonlinear model and the electromagnetic knots found by Raada et al. is investigated. It is sho…

hep-th2007★ 7 cited

Approximate vortex solution of Faddeev model

Chang-Guang Shi, Minoru Hirayama

Through an Ansatz specifying the azimuthal-angle dependence of the solution, the static field equation for vortex of the Faddeev model is converted to an algebraic ordinary differe…

hep-th2007★ 5 cited

Reduction of static field equation of Faddeev model

Minoru Hirayama, Chang-Guang Shi

A method to solve the static field equation of the Faddeev model is presented. For an special combination of the concerned field, we adopt a form which is compatible with the field…

hep-th2006★ 8 cited

Restricting profile function of hedgehog Skyrmion

Jun Yamashita, Minoru Hirayama

The profile function for the hedgehog Skyrmion is investigated. After discussing how the form of the profile function is restricted by the field equation, the s tatic energy is num…

hep-th2006

Domain wall solution of the Skyrme model

Chang-Guang Shi, Minoru Hirayama

A class of domain-wall-like solutions of the Skyrme model is obtained analytically. They are described by the tangent hyperbolic function, which is a special limit of the Weierstra…

hep-th2006★ 23 cited

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

Minoru Hirayama, Hitoshi Yamakoshi, Jun Yamashita

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 tr…