/ 01 02 19 1 v 1 2 7 Fe b 20 01 Wigner ’ s Little Group , Gauge Transformations and Dimensional Descent
نویسندگان
چکیده
Using a technique based on dimensional descent, we show that Wigner's little group for massless particles, which acts as a generator of gauge transformation for usual Maxwell theory, has an identical role even for topologically massive gauge theories. The examples of B ∧ F theory and Maxwell-Chern-Simons theory are analyzed in details.
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ar X iv : h ep - t h / 01 02 19 1 v 2 1 F eb 2 00 2 Wigner ’ s Little Group , Gauge Transformations and Dimensional Descent
Wigner’s little group[1], which is a subgroup of the Poincare group that leaves the fourmomentum invariant, is of fundamental importance for both massive and massless particles. In the latter case this group is E(2), which is a semi-direct product of T (2) (the group of translations in the plane) and SO(2). Each of these subgroups has its own role, but here we are concerned with T (2) which act...
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