Signal/noise optimization strategies for stochastically estimated correlation functions
Numerical studies of quantum field theories usually rely upon an accurate determination of stochastically estimated correlation functions in order to extract information about the spectrum of the theory and matrix elements of operators. The reliable determination of such correlators is often hampere...
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| Format: | Article |
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Sissa Medialab
2019
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| Online Access: | https://hdl.handle.net/1721.1/121577 |
| _version_ | 1826199751257751552 |
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| author | Detmold, William Endres, Michael G |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Detmold, William Endres, Michael G |
| author_sort | Detmold, William |
| collection | MIT |
| description | Numerical studies of quantum field theories usually rely upon an accurate determination of stochastically estimated correlation functions in order to extract information about the spectrum of the theory and matrix elements of operators. The reliable determination of such correlators is often hampered by an exponential degradation of signal/noise at late time separations. We demonstrate that it is sometimes possible to achieve significant enhancements of signal/noise by appropriately optimizing correlators with respect to the source and sink interpolating operators, and highlight the large range of possibilities that are available for this task. The ideas are discussed for both a toy model, and single hadron correlators in the context of quantum chromodynamics. |
| first_indexed | 2024-09-23T11:25:10Z |
| format | Article |
| id | mit-1721.1/121577 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:25:10Z |
| publishDate | 2019 |
| publisher | Sissa Medialab |
| record_format | dspace |
| spelling | mit-1721.1/1215772022-09-27T19:25:34Z Signal/noise optimization strategies for stochastically estimated correlation functions Detmold, William Endres, Michael G Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Numerical studies of quantum field theories usually rely upon an accurate determination of stochastically estimated correlation functions in order to extract information about the spectrum of the theory and matrix elements of operators. The reliable determination of such correlators is often hampered by an exponential degradation of signal/noise at late time separations. We demonstrate that it is sometimes possible to achieve significant enhancements of signal/noise by appropriately optimizing correlators with respect to the source and sink interpolating operators, and highlight the large range of possibilities that are available for this task. The ideas are discussed for both a toy model, and single hadron correlators in the context of quantum chromodynamics. U. S. Department of Energy (Contract No. DE-SC0011090) United States. Department of Energy. Early Career Research (Award no. SC0010495) Solomon Buchsbaum Fund 2019-07-10T18:14:27Z 2019-07-10T18:14:27Z 2015-05 2014-09 2019-03-18T20:27:41Z Article http://purl.org/eprint/type/ConferencePaper 1824-8039 https://hdl.handle.net/1721.1/121577 Endres, Michael, and William Detmold. “Signal/noise Optimization Strategies for Stochastically Estimated Correlation Functions.” In Proceedings of The 32nd International Symposium on Lattice Field Theory, PoS(LATTICE2014) (May 21, 2015). http://dx.doi.org/10.22323/1.214.0170 Proceedings of The 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014) http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Sissa Medialab Proceedings of Science |
| spellingShingle | Detmold, William Endres, Michael G Signal/noise optimization strategies for stochastically estimated correlation functions |
| title | Signal/noise optimization strategies for stochastically estimated correlation functions |
| title_full | Signal/noise optimization strategies for stochastically estimated correlation functions |
| title_fullStr | Signal/noise optimization strategies for stochastically estimated correlation functions |
| title_full_unstemmed | Signal/noise optimization strategies for stochastically estimated correlation functions |
| title_short | Signal/noise optimization strategies for stochastically estimated correlation functions |
| title_sort | signal noise optimization strategies for stochastically estimated correlation functions |
| url | https://hdl.handle.net/1721.1/121577 |
| work_keys_str_mv | AT detmoldwilliam signalnoiseoptimizationstrategiesforstochasticallyestimatedcorrelationfunctions AT endresmichaelg signalnoiseoptimizationstrategiesforstochasticallyestimatedcorrelationfunctions |