Abstract
The existence of tensor Lagrangians for noninteracting massless fields of arbitrary spin is demonstrated. In particular, for spin one, the Euler-Lagrange equations for a vector Lagrangian are equivalent to Maxwell’s equations. Conserved quantities are derived in the usual fashion from these generalized Lagrangians by means of Noether’s theorem. A tensor Lagrangian and corresponding conserved quantities are also exhibited for the Dirac field with nonzero mass. A very natural quantization assumption which applies to all massless fields is made, and the physical interpretation of the generalized conserved quantities in terms of number operators is given.
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