Computing four-point functions with integrability, bootstrap and parity symmetry
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| Опубліковано в:: | Journal of High Energy Physics vol. 2025, no. 2 (Feb 2025), p. 26 |
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| Інші автори: | , |
| Опубліковано: |
Springer Nature B.V.
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| Онлайн доступ: | Citation/Abstract Full Text - PDF |
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| 022 | |a 1029-8479 | ||
| 024 | 7 | |a 10.1007/JHEP02(2025)026 |2 doi | |
| 035 | |a 3164173304 | ||
| 045 | 2 | |b d20250201 |b d20250228 | |
| 084 | |a 243435 |2 nlm | ||
| 100 | 1 | |a Cavaglià, Andrea |u Università di Torino, Dipartimento di Fisica, Torino, Italy (GRID:grid.7605.4) (ISNI:0000 0001 2336 6580); INFN - Sezione di Torino, Torino, Italy (GRID:grid.470222.1) (ISNI:0000 0004 7471 9712) | |
| 245 | 1 | |a Computing four-point functions with integrability, bootstrap and parity symmetry | |
| 260 | |b Springer Nature B.V. |c Feb 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a The combination of integrability and crossing symmetry has proven to give tight non-perturbative bounds on some planar structure constants in N<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13130_2025_25467_Article_IEq1.gif" />=4 SYM, particularly in the setup of defect observables built on a Wilson-Maldacena line. Whereas the precision is good for the low lying states, higher in the spectrum it drops due to the degeneracies at weak coupling when considering a single correlator. As this could be a clear obstacle in restoring higher point functions, we studied the problem of bounding directly a 4-point function at generic cross ratio, showing how to adapt for this purpose the numerical bootstrap algorithms based on semidefinite programming. Another tool we are using to further narrow the bounds is a parity symmetry descending from the N<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13130_2025_25467_Article_IEq1.gif" />=4 SYM theory, which allowed us to reduce the number of parameters. We also give an interpretation for the parity in terms of the Quantum Spectral Curve at weak coupling. Our numerical bounds give an accurate determination of the 4-point function for physical values of the cross ratio, with at worst 5-6 digits precision at weak coupling and reaching more than 11 digits for ’t Hooft coupling λ4π∼4<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13130_2025_25467_Article_IEq3.gif" />. | |
| 653 | |a Algorithms | ||
| 653 | |a Planar structures | ||
| 653 | |a Digits | ||
| 653 | |a Semidefinite programming | ||
| 653 | |a High energy physics | ||
| 653 | |a Integral calculus | ||
| 653 | |a Mathematical analysis | ||
| 653 | |a Parity | ||
| 653 | |a Symmetry | ||
| 653 | |a Coupling | ||
| 700 | 1 | |a Gromov, Nikolay |u King’s College London, Department of Mathematics, London, UK (GRID:grid.13097.3c) (ISNI:0000 0001 2322 6764) | |
| 700 | 1 | |a Preti, Michelangelo |u Università di Torino, Dipartimento di Fisica, Torino, Italy (GRID:grid.7605.4) (ISNI:0000 0001 2336 6580); Stony Brook University, C. N. Yang Institute for Theoretical Physics, Stony Brook, USA (GRID:grid.36425.36) (ISNI:0000 0001 2216 9681); Stony Brook University, Simons Center for Geometry and Physics, New York, USA (GRID:grid.36425.36) (ISNI:0000 0001 2216 9681) | |
| 773 | 0 | |t Journal of High Energy Physics |g vol. 2025, no. 2 (Feb 2025), p. 26 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3164173304/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3164173304/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |