Adiabatic dressing with phase factors defines the renormalized scattering matrix and its inclusive counterpart, whose matrix elements are amputated Green functions on shell.
Schwarz, 2024 Quantum mechanics and quantum field theory from al- gebraic and geometric viewpoints
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Adiabatic definitions of scattering matrix and inclusive scattering matrix
Adiabatic dressing with phase factors defines the renormalized scattering matrix and its inclusive counterpart, whose matrix elements are amputated Green functions on shell.