On the equivalence of Prony and Lanczos methods for Euclidean correlation functions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912251434237952 |
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| author | Ostmeyer, Johann Sen, Aniket Urbach, Carsten |
| author_facet | Ostmeyer, Johann Sen, Aniket Urbach, Carsten |
| contents | We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not aleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14981 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the equivalence of Prony and Lanczos methods for Euclidean correlation functions Ostmeyer, Johann Sen, Aniket Urbach, Carsten High Energy Physics - Lattice We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not aleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach. |
| title | On the equivalence of Prony and Lanczos methods for Euclidean correlation functions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2411.14981 |