Galilean equations for massless fields

Details Galilean equations for massless fields Galilean equations for massless fields

2008-10-10

arxiv.org/abs/0810.1894v2

J.Phys.A42:105207,2009

Physics

Mathematical Physics

Section 5 has been improved and extended

Scientific paper

10.1088/1751-8113/42/10/105207

Galilei-invariant equations for massless fields are obtained via contractions of relativistic wave equations. It is shown that the collection of non-equivalent Galilei-invariant wave equations for massless fields with spin equal 1 and 0 is very reach and corresponds to various contractions of the representations of the Lorentz group to those of the Galilei one. It describes many physically consistent systems, e.g., those of electromagnetic fields in various media or Galilean Chern-Simon models. Finally, classification of all linear and a big group of non-linear Galilei-invariant equations for massless fields is presented.

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