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Remarks on Exactly Solvable Noncommutative Quantum Field
作者姓名:王宁
作者单位:Department of Physics, Ocean University of China, Qingdao 266003
摘    要: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.

关 键 词:量子学  相互作用  等效作用  物理学
收稿时间:2006-11-6
修稿时间:2006-11-06

Remarks on Exactly Solvable Noncommutative Quantum Field
WANG Ning.Remarks on Exactly Solvable Noncommutative Quantum Field[J].Chinese Physics Letters,2007,24(6):1509-1512.
Authors:WANG Ning
Affiliation:Department of Physics, Ocean University of China, Qingdao 266003
Abstract:
Keywords:11  10  Nx  02  30  Ik
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