A BRST formulation yields a single constraint per off-shell quartic vertex ensuring gauge invariance and associativity, with example solutions for low-spin cases in black hole scattering.
Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles
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abstract
The Weyl-van-der-Waerden spinor technique for calculating helicity amplitudes of massive and massless particles is presented in a form that is particularly well suited to a direct implementation in computer algebra. Moreover, we explain how to exploit discrete symmetries and how to avoid unphysical poles in amplitudes in practice. The efficiency of the formalism is demonstrated by giving explicit compact results for the helicity amplitudes of the processes gamma gamma -> f fbar, f fbar -> gamma gamma gamma, mu^- mu^+ -> f fbar gamma.
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BRST methods for constructing quartic actions for spinning black holes
A BRST formulation yields a single constraint per off-shell quartic vertex ensuring gauge invariance and associativity, with example solutions for low-spin cases in black hole scattering.