Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-01
Nucl.Phys. B507 (1997) 157-174
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, Latex
Scientific paper
10.1016/S0550-3213(97)00560-9
In this paper the general form of scattering amplitudes for massless particles with equal spins s ($s s \to s s$) or unequal spins ($s_a s_b \to s_a s_b$) are derived. The imposed conditions are that the amplitudes should have the lowest possible dimension, have propagators of dimension $m^{-2}$, and obey gauge invariance. It is shown that the number of momenta required for amplitudes involving particles with s > 2 is higher than the number implied by 3-vertices for higher spin particles derived in the literature. Therefore, the dimension of the coupling constants following from the latter 3-vertices has a smaller power of an inverse mass than our results imply. Consequently, the 3-vertices in the literature cannot be the first interaction terms of a gauge-invariant theory. When no spins s > 2 are present in the process the known QCD, QED or (super) gravity amplitudes are obtained from the above general amplitudes.
Berends F. A.
Giele Walter T.
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