Anatomy of real intermediate state-subtraction scheme
Ala-Mattinen, K., Heikinheimo, M., Tuominen, K., & Kainulainen, K. (2023). Anatomy of real intermediate state-subtraction scheme. Physical Review D, 108(9), Article 096034. https://doi.org/10.1103/PhysRevD.108.096034
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Physical Review DDate
2023Copyright
© 2024 the Authors
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(Δ), where Δ measures the region around the resonance associated with the real state.
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American Physical Society (APS)ISSN Search the Publication Forum
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https://converis.jyu.fi/converis/portal/detail/Publication/220702092
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This work was supported by the Research Council of Finland Grant No. 342777 and Jenny and Antti Wihuri Foundation.License
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