Abstract
Free quantized massless field theories of arbitrary spin $L$ are investigated. The transverse potential in the radiation gauge is shown to transform as a nonunitary infinite-dimensional representation of the Lorentz group: $(L, 1)\ensuremath{\bigoplus}(L, \ensuremath{-}1)$ for integer spin and $(L+\frac{1}{2}, \frac{3}{2})\ensuremath{\bigoplus}(L+\frac{1}{2}, \ensuremath{-}\frac{3}{2})$ for integer +\textonehalf{} spin (Gel'fand and Shapiro's notation). Using Lorentz group theory, it is argued that free quantized massless field theories of spin g1 do not possess a stress-energy tensor ${T}^{\ensuremath{\mu}\ensuremath{\nu}}$.
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