Limits on massless particles

Steven Weinberg, Edward Witten
1980 Physics Letters B  
We show that in all theories with a Lorentz-covariant energy-momentum tensor, such as all known renormalizable quantum field theories, composite as well as elementary massless particles with] > 1 are forbidden. Also, in all theories with a Lorentz-covariant conserved current, such as renormalizable theories with a symmetry that commutes with all local symmetries, there cannot exist composite or elementary particles with nonvanishing values of the corresponding charge and j > 1/2.
doi:10.1016/0370-2693(80)90212-9 fatcat:u4d3p2y2cbep7brnd25u7ornum