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Inverse Renormalization Group in Quantum Field Theory
,
Francesco Di Renzo ,
Biagio Lucini
Physical Review Letters, Volume: 128, Issue: 8
Swansea University Authors:
Dimitrios Bachtis, Gert Aarts , Biagio Lucini
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DOI (Published version): 10.1103/physrevlett.128.081603
Abstract
We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing down effect in calculations pertinent to criticality. Given c...
| Published in: | Physical Review Letters |
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| ISSN: | 0031-9007 1079-7114 |
| Published: |
American Physical Society (APS)
2022
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa59303 |
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| Abstract: |
We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing down effect in calculations pertinent to criticality. Given configurations of the two-dimensional φ4 scalar field theory on sizes as small as V = 8x8, we apply the inverse transformations to produce rescaled systems of size up to V' = 512x512 which we utilize to extract two critical exponents. We conclude by discussing how the approach is generally applicable to any method that successfully produces configurations from a statistical ensemble and how it can give novel insights into the structure of the renormalization group. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
The authors received funding from the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation programme under Grant Agreement No. 813942. The work of G. A. and B. L. has been supported in part by the UKRI Science and Technology Facilities Council (STFC) Consolidated Grant ST/T000813/1. The work of B. L. is further supported in part by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Foundation Research
Fellowship RF-2020-461\9. F. D. R. acknowledges partial support from INFN. under the research project i.s. QCDLAT. Numerical simulations have been performed on the Swansea SUNBIRD system. This system is part of the Supercomputing Wales project, which is part-funded by the European Regional Development Fund (ERDF) via Welsh Government. |
| Issue: |
8 |