Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 65, Issue 3-4, Pages 607-614Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-009-1221-x
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- Chinese Academy of Sciences
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The symmetries of a free incompressible fluid span the Galilei group, augmented with independent dilations of space and time. When the fluid is compressible, the symmetry is enlarged to the expanded Schrodinger group, which also involves, in addition, Schrodinger expansions. While incompressible fluid dynamics can be derived as an appropriate non-relativistic limit of a conformally invariant relativistic theory, the recently discussed conformal Galilei group, obtained by contraction from the relativistic conformal group, is not a symmetry. This is explained by the subtleties of the non-relativistic limit.
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