Second central extension in Galilean covariant field theory

Details Second central extension in Galilean covariant field theory Second central extension in Galilean covariant field theory

2002-03-21

arxiv.org/abs/quant-ph/0203109v1

Phys.Lett. B539 (2002) 168-171

Physics

Quantum Physics

6 pgs., latex

Scientific paper

The second central extension of the planar Galilei group has been alleged to have its origin in the spin variable. This idea is explored here by considering local Galilean covariant field theory for free fields of arbitrary spin. It is shown that such systems generally display only a trivial realization of the second central extension. While it is possible to realize any desired value of the extension parameter by suitable redefinition of the boost operator, such an approach has no necessary connection to the spin of the basic underlying field.

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