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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.10707 |
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| _version_ | 1866910412075696128 |
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| author | Lawrence, Scott |
| author_facet | Lawrence, Scott |
| contents | Previous work has shown that high-quality control variates for lattice Monte Carlo methods may be constructed from lattice Schwinger-Dyson relations. This paper extends that method to theories with lattice fermions, using the Thirring model in $1+1$ spacetime dimensions as a testbed. Past construction of these control variates involved a number of fitting parameters that scaled with lattice volume. By computing the control variate in perturbation theory, the number of fitting parameters required for an order-of-magnitude improvement in the signal-to-noise ratio at weak coupling is reduced to be of order one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schwinger-Dyson control variates for lattice fermions Lawrence, Scott High Energy Physics - Lattice Previous work has shown that high-quality control variates for lattice Monte Carlo methods may be constructed from lattice Schwinger-Dyson relations. This paper extends that method to theories with lattice fermions, using the Thirring model in $1+1$ spacetime dimensions as a testbed. Past construction of these control variates involved a number of fitting parameters that scaled with lattice volume. By computing the control variate in perturbation theory, the number of fitting parameters required for an order-of-magnitude improvement in the signal-to-noise ratio at weak coupling is reduced to be of order one. |
| title | Schwinger-Dyson control variates for lattice fermions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2404.10707 |