%0 Journal Article
%T Remarks on Exactly Solvable Noncommutative Quantum Field
%A WANG Ning
%A <br>王宁
%J 中国物理快报
%D 2007
%I 
%X We study exactly the solvable noncommutative scalar quantum field models of （2n） or （2n ＋ 1） dimensions. By writing out an equivalent action of the noncommutative field, it is shown that the special condition B. 0 = 4-1 in field theoretic context means the full restoration of the maximal U（∞） gauge symmetries broken due to kinetic term. It is further shown that the model can be obtained by dimensional reduction of a 2n-dimensional exactly solvable noncommutative φ4 quantum field model closely related to the 1＋1-dimensional Moyal/matrix-valued nonlinear Schr6dinger （MNLS） equation. The corresponding quantum fundamental commutation relation of the MNLS model is also given explicitly.
%K 11
%K 10
%K Nx
%K 02
%K 30
%K Ik<br>量子学
%K 相互作用
%K 等效作用
%K 物理学
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=03664AC44D4808189F356255F18C0750&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=B31275AF3241DB2D&sid=AEA8CA70A6C58E24&eid=0DC3089A5408D592&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0