Noncommuting gauge fields as a Lagrange fluid

被引：41

作者：

Jackiw, R ^{[1
]}

Pi, SY

Polychronakos, AP

机构：

[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[2] Boston Univ, Dept Phys, Boston, MA 02215 USA

[3] Rockefeller Univ, Dept Phys, New York, NY 10021 USA

[4] Univ Ioannina, Dept Phys, GR-45110 Ioannina, Greece

来源：

ANNALS OF PHYSICS | 2002年 / 301卷 / 02期

关键词：

D O I：

10.1006/aphy.2002.6290

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Lagrange description of an ideal fluid gives rise in a natural way to a gauge potential and a Poisson structure that are classical precursors of analogous noncommuting entities. With this observation we are led to construct gauge-covariant coordinate transformations on a noncommuting space. Also we recognize the Seiberg-Witten map from noncommuting to commuting variables as the quantum correspondent of the Lagrange to Euler map in fluid mechanics. (C) 2002 Elsevier Science (USA).

引用

页码：157 / 173

页数：17

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