Density of observables from local derivatives
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914627148840960 |
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| author | Larsen, Rasmus Normann |
| author_facet | Larsen, Rasmus Normann |
| contents | We derive a formula to calculate the local change to the log of any density of states for smooth real observables. Using this in Monte-Carlo simulations, we are able to calculate the expectation value of the observable with a precision often better than standard sampling. The method can be applied to previously generated configurations, as long as the analysis uses the same action used to generate the configurations. We show that for observables such as Wilson line correlators, errors are reduced by up to 4 times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Density of observables from local derivatives Larsen, Rasmus Normann High Energy Physics - Lattice We derive a formula to calculate the local change to the log of any density of states for smooth real observables. Using this in Monte-Carlo simulations, we are able to calculate the expectation value of the observable with a precision often better than standard sampling. The method can be applied to previously generated configurations, as long as the analysis uses the same action used to generate the configurations. We show that for observables such as Wilson line correlators, errors are reduced by up to 4 times. |
| title | Density of observables from local derivatives |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.01211 |