Stochastic renormalization group and gradient flow
Abstract A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carl...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)172 |
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| _version_ | 1823863482432356352 |
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| author | Andrea Carosso |
| author_facet | Andrea Carosso |
| author_sort | Andrea Carosso |
| collection | DOAJ |
| description | Abstract A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. Long-distance correlations of the effective theory are shown to approach gradient-flowed correlations, which are simpler to measure. The Markov property of the stochastic RG transformation implies an RG scaling formula which allows for the measurement of anomalous dimensions when transcribed into gradient flow expectation values. |
| format | Article |
| id | doaj-art-c5c341d3ec514799b9231db3b8efa098 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c5c341d3ec514799b9231db3b8efa0982025-02-09T12:06:14ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112110.1007/JHEP01(2020)172Stochastic renormalization group and gradient flowAndrea Carosso0Department of Physics, University of ColoradoAbstract A non-perturbative and continuous definition of RG transformations as stochastic processes is proposed, inspired by the observation that the functional RG equations for effective Boltzmann factors may be interpreted as Fokker-Planck equations. The result implies a new approach to Monte Carlo RG that is amenable to lattice simulation. Long-distance correlations of the effective theory are shown to approach gradient-flowed correlations, which are simpler to measure. The Markov property of the stochastic RG transformation implies an RG scaling formula which allows for the measurement of anomalous dimensions when transcribed into gradient flow expectation values.https://doi.org/10.1007/JHEP01(2020)172Renormalization GroupLattice Quantum Field TheoryStochastic Processes |
| spellingShingle | Andrea Carosso Stochastic renormalization group and gradient flow Journal of High Energy Physics Renormalization Group Lattice Quantum Field Theory Stochastic Processes |
| title | Stochastic renormalization group and gradient flow |
| title_full | Stochastic renormalization group and gradient flow |
| title_fullStr | Stochastic renormalization group and gradient flow |
| title_full_unstemmed | Stochastic renormalization group and gradient flow |
| title_short | Stochastic renormalization group and gradient flow |
| title_sort | stochastic renormalization group and gradient flow |
| topic | Renormalization Group Lattice Quantum Field Theory Stochastic Processes |
| url | https://doi.org/10.1007/JHEP01(2020)172 |
| work_keys_str_mv | AT andreacarosso stochasticrenormalizationgroupandgradientflow |