Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae
Abstract In this work we provide a non-perturbative solution to the theoretical problem of extracting scattering amplitudes from Euclidean correlators in infinite volume. We work within the solid axiomatic framework of the Haag-Ruelle scattering theory and derive formulae which can be used to approx...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)091 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823863415262674944 |
|---|---|
| author | Agostino Patella Nazario Tantalo |
| author_facet | Agostino Patella Nazario Tantalo |
| author_sort | Agostino Patella |
| collection | DOAJ |
| description | Abstract In this work we provide a non-perturbative solution to the theoretical problem of extracting scattering amplitudes from Euclidean correlators in infinite volume. We work within the solid axiomatic framework of the Haag-Ruelle scattering theory and derive formulae which can be used to approximate scattering amplitudes arbitrarily well in terms of linear combinations of Euclidean correlators at discrete time separations. Our result generalizes and extends the range of applicability of a result previously obtained by Barata and Fredenhagen [1]. We provide a concrete procedure to construct such approximations, making our formulae ready to be used in numerical calculations of non-perturbative QCD scattering amplitudes. A detailed numerical investigation is needed to assess whether the proposed strategy can lead to the calculation of scattering amplitudes with phenomenologically satisfactory precision with presently available lattice QCD data. This will be the subject of future work. Nevertheless, the numerical accuracy and precision of lattice simulations is systematically improvable, and we have little doubts that our approach will become useful in the future. |
| format | Article |
| id | doaj-art-2bc9193d08cb4b0db560c97a985a2af2 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2bc9193d08cb4b0db560c97a985a2af22025-02-09T12:08:14ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115010.1007/JHEP01(2025)091Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulaeAgostino Patella0Nazario Tantalo1Institut für Physik, Humboldt Universität zu BerlinDipartimento di Fisica, Università di Roma Tor VergataAbstract In this work we provide a non-perturbative solution to the theoretical problem of extracting scattering amplitudes from Euclidean correlators in infinite volume. We work within the solid axiomatic framework of the Haag-Ruelle scattering theory and derive formulae which can be used to approximate scattering amplitudes arbitrarily well in terms of linear combinations of Euclidean correlators at discrete time separations. Our result generalizes and extends the range of applicability of a result previously obtained by Barata and Fredenhagen [1]. We provide a concrete procedure to construct such approximations, making our formulae ready to be used in numerical calculations of non-perturbative QCD scattering amplitudes. A detailed numerical investigation is needed to assess whether the proposed strategy can lead to the calculation of scattering amplitudes with phenomenologically satisfactory precision with presently available lattice QCD data. This will be the subject of future work. Nevertheless, the numerical accuracy and precision of lattice simulations is systematically improvable, and we have little doubts that our approach will become useful in the future.https://doi.org/10.1007/JHEP01(2025)091Algorithms and Theoretical DevelopmentsLattice Quantum Field TheoryNonperturbative EffectsHadronic Matrix Elements and Weak Decays |
| spellingShingle | Agostino Patella Nazario Tantalo Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae Journal of High Energy Physics Algorithms and Theoretical Developments Lattice Quantum Field Theory Nonperturbative Effects Hadronic Matrix Elements and Weak Decays |
| title | Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae |
| title_full | Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae |
| title_fullStr | Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae |
| title_full_unstemmed | Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae |
| title_short | Scattering amplitudes from Euclidean correlators: Haag-Ruelle theory and approximation formulae |
| title_sort | scattering amplitudes from euclidean correlators haag ruelle theory and approximation formulae |
| topic | Algorithms and Theoretical Developments Lattice Quantum Field Theory Nonperturbative Effects Hadronic Matrix Elements and Weak Decays |
| url | https://doi.org/10.1007/JHEP01(2025)091 |
| work_keys_str_mv | AT agostinopatella scatteringamplitudesfromeuclideancorrelatorshaagruelletheoryandapproximationformulae AT nazariotantalo scatteringamplitudesfromeuclideancorrelatorshaagruelletheoryandapproximationformulae |