S-matrix bootstrap for resonances
Abstract We study the 2 → 2 S-matrix element of a generic, gapped and Lorentz invariant QFT in d = 1 + 1 space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a. resonances) and its physical implications. This is achieved by exploiti...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)052 |
| _version_ | 1811221408939769856 |
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| author | N. Doroud J. Elias Miró |
| author_facet | N. Doroud J. Elias Miró |
| author_sort | N. Doroud |
| collection | DOAJ |
| description | Abstract We study the 2 → 2 S-matrix element of a generic, gapped and Lorentz invariant QFT in d = 1 + 1 space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a. resonances) and its physical implications. This is achieved by exploiting the connection between the S-matrix phase-shift and the roots of the S-matrix in the physical sheet. We also develop a numerical framework to recover the analytical bound as a solution to a numerical optimization problem. This later approach can be generalized to d = 3 + 1 spacetime dimensions. |
| first_indexed | 2024-04-12T07:58:48Z |
| format | Article |
| id | doaj.art-724fd04d71264a799f096afeb577a42a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T07:58:48Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-724fd04d71264a799f096afeb577a42a2022-12-22T03:41:23ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018912610.1007/JHEP09(2018)052S-matrix bootstrap for resonancesN. Doroud0J. Elias Miró1SISSA/ISAS and INFNSISSA/ISAS and INFNAbstract We study the 2 → 2 S-matrix element of a generic, gapped and Lorentz invariant QFT in d = 1 + 1 space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a. resonances) and its physical implications. This is achieved by exploiting the connection between the S-matrix phase-shift and the roots of the S-matrix in the physical sheet. We also develop a numerical framework to recover the analytical bound as a solution to a numerical optimization problem. This later approach can be generalized to d = 3 + 1 spacetime dimensions.http://link.springer.com/article/10.1007/JHEP09(2018)052Field Theories in Lower DimensionsNonperturbative EffectsIntegrable Field Theories |
| spellingShingle | N. Doroud J. Elias Miró S-matrix bootstrap for resonances Journal of High Energy Physics Field Theories in Lower Dimensions Nonperturbative Effects Integrable Field Theories |
| title | S-matrix bootstrap for resonances |
| title_full | S-matrix bootstrap for resonances |
| title_fullStr | S-matrix bootstrap for resonances |
| title_full_unstemmed | S-matrix bootstrap for resonances |
| title_short | S-matrix bootstrap for resonances |
| title_sort | s matrix bootstrap for resonances |
| topic | Field Theories in Lower Dimensions Nonperturbative Effects Integrable Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)052 |
| work_keys_str_mv | AT ndoroud smatrixbootstrapforresonances AT jeliasmiro smatrixbootstrapforresonances |