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Inverse Renormalization Group in Quantum Field Theory

Dimitrios Bachtis, Gert Aarts Orcid Logo, Francesco Di Renzo Orcid Logo, Biagio Lucini Orcid Logo

Physical Review Letters, Volume: 128, Issue: 8

Swansea University Authors: Dimitrios Bachtis, Gert Aarts Orcid Logo, Biagio Lucini Orcid Logo

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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...

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Published in: Physical Review Letters
ISSN: 0031-9007 1079-7114
Published: American Physical Society (APS) 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa59303
first_indexed 2022-02-03T22:17:27Z
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spelling 2022-11-11T14:49:30.4299794 v2 59303 2022-02-03 Inverse Renormalization Group in Quantum Field Theory 91a311a58d3f8badc779f0ffa6d0ca3d Dimitrios Bachtis Dimitrios Bachtis true false 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2022-02-03 BGPS 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. Journal Article Physical Review Letters 128 8 American Physical Society (APS) 0031-9007 1079-7114 23 2 2022 2022-02-23 10.1103/physrevlett.128.081603 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Other 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. 2022-11-11T14:49:30.4299794 2022-02-03T22:03:49.2497533 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Dimitrios Bachtis 1 Gert Aarts 0000-0002-6038-3782 2 Francesco Di Renzo 0000-0003-3640-2960 3 Biagio Lucini 0000-0001-8974-8266 4 59303__22450__e8b346df66da4247920d725d23414538.pdf PhysRevLett.128.081603.pdf 2022-02-23T16:29:03.2652292 Output 677398 application/pdf Version of Record true Released under the terms of the Creative Commons Attribution 4.0 International license true eng https://creativecommons.org/licenses/by/4.0/
title Inverse Renormalization Group in Quantum Field Theory
spellingShingle Inverse Renormalization Group in Quantum Field Theory
Dimitrios Bachtis
Gert Aarts
Biagio Lucini
title_short Inverse Renormalization Group in Quantum Field Theory
title_full Inverse Renormalization Group in Quantum Field Theory
title_fullStr Inverse Renormalization Group in Quantum Field Theory
title_full_unstemmed Inverse Renormalization Group in Quantum Field Theory
title_sort Inverse Renormalization Group in Quantum Field Theory
author_id_str_mv 91a311a58d3f8badc779f0ffa6d0ca3d
1ba0dad382dfe18348ec32fc65f3f3de
7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 91a311a58d3f8badc779f0ffa6d0ca3d_***_Dimitrios Bachtis
1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Dimitrios Bachtis
Gert Aarts
Biagio Lucini
author2 Dimitrios Bachtis
Gert Aarts
Francesco Di Renzo
Biagio Lucini
format Journal article
container_title Physical Review Letters
container_volume 128
container_issue 8
publishDate 2022
institution Swansea University
issn 0031-9007
1079-7114
doi_str_mv 10.1103/physrevlett.128.081603
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
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hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
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description 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.
published_date 2022-02-23T20:09:28Z
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