%0 Journal Article
%T DUAL SYMMETRY OF CHIRAL MODEL AND GEOMETRICAL CORRESPONDENCE BETWEEN CHIRAL FIELD AND SINE-GORDON EQUATION
手征模型的对偶性及其与sine-Gordon方程的几何关联
%A WANG PEI
%A HOU BO-YUAN
%A HOU BO-YU
%A GUO HAN-YING
%A
王珮
%A 侯伯元
%A 侯伯宇
%A 郭汉英
%J 物理学报
%D 1984
%I
%X In this paper, we show that the SO(3) chiral field can be regard as the normal Vector field over the pseudo-spherical surface, and thus obtain the correspondence between chiral field and sine-Gordon system, as well as the geometrical interpretation of chiral field. By means of the dual symmetry between chiral field and the pseudo-spherical surface, we are able to connect chiral field with s-G system, and express Backlund transformation, Riccati equation in the gauge invariant representations of the related properties of the same dynamical system in different frames.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=77A0DA8A60D781B4B4E8EC3FCEE1D432&yid=36250D1D6BDC99BD&vid=27746BCEEE58E9DC&iid=38B194292C032A66&sid=E39A3F4E3A67639B&eid=DFEE4E8C33C95CEF&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0