Eur. Phys. J. C (2003) 31: 123-127
https://doi.org/10.1140/epjc/s2003-01316-0

theoretical physics

Wave solutions of Hopf theories

Department of Physics, National Chung-Cheng University, 621, Chia-Yi, Taiwan, R.O.C

^* e-mail: suw@phy.ccu.edu.tw

Abstract

We present a class of plane-wave solutions for some Hopf theories defined on the symmetric space SU(2)/U(1) in 3 + 1 space-time dimensions, using a recently proposed ansatz by Hirayama and Yamashita. These solutions are not solitonic, but they provide us with an example of how plane-wave solutions arise in non-linear field theories.