arXiv · 2309.16615
Anatomy of real intermediate state-subtraction scheme
Abstract
We study the origin of the real intermediate state subtraction problem and compare its different solutions. We show that the ambiguity in subtraction schemes arises from the on-shell approximation for the 2-point functions that reduces the Schwinger-Dyson equations to the Boltzmann limit. We also suggest a new subtraction scheme which, unlike the earlier definitions, never leads to negative scattering rates. This scheme also quantifies the validity of the on-shell limit in terms of an effective one-particle weight function $R(\Delta )$, where $\Delta$ measures the region around the resonance associated with the real state.
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Kalle Ala-Mattinen, Matti Heikinheimo, Kimmo Kainulainen, Kimmo Tuominen. 2023-09-28. Anatomy of real intermediate state-subtraction scheme. https://arxiv.org/abs/2309.16615
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