Recursion relations and scattering amplitudes in the light-front formalism |
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Authors: | CA Cruz-Santiago AM Staśto |
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Institution: | 1. Physics Department, 104 Davey Lab, The Pennsylvania State University, University Park, PA 16802, USA;2. RIKEN Center, Brookhaven National Laboratory, Upton, NY 11973, USA;3. H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, 31-342 Kraków, Poland |
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Abstract: | The fragmentation functions and scattering amplitudes are investigated in the framework of light-front perturbation theory. It is demonstrated that, the factorization property of the fragmentation functions implies the recursion relations for the off-shell scattering amplitudes which are light-front analogs of the Berends–Giele relations. These recursion relations on the light-front can be solved exactly by induction and it is shown that the expressions for the off-shell light-front amplitudes are represented as a linear combinations of the on-shell amplitudes. By putting external particles on-shell we recover the scattering amplitudes previously derived in the literature. |
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