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Large volumes and spectroscopy of walking theories

L. Del Debbio, B. Lucini, A. Patella, C. Pica, A. Rago, Biagio Lucini Orcid Logo

Physical Review D, Volume: 93, Issue: 5

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.93.054505

Abstract

A detailed investigation of finite-size effects is performed for SU(2) gauge theory with two fermions in the adjoint representation, which previous lattice studies have shown to be inside the conformal window. The system is investigated with different spatial and temporal boundary conditions on latt...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa27979
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spelling 2017-02-06T14:37:34.8575318 v2 27979 2016-05-14 Large volumes and spectroscopy of walking theories 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA A detailed investigation of finite-size effects is performed for SU(2) gauge theory with two fermions in the adjoint representation, which previous lattice studies have shown to be inside the conformal window. The system is investigated with different spatial and temporal boundary conditions on lattices of various spatial and temporal extensions, for two values of the bare fermion mass representing a heavy and light fermion regime. Our study shows that the infinite-volume limit of masses and decay constants in the mesonic sector is reached only when the mass of the pseudoscalar particle MPS and the spatial lattice size L satisfy the relation LMPS≥15. This bound, which is at least a factor of three higher than what is observed in QCD, is a likely consequence of the different spectral signatures of the two theories, with the scalar isosinglet (0++ glueball) being the lightest particle in our model. In addition to stressing the importance of simulating large lattice sizes, our analysis emphasizes the need to understand quantitatively the full spectrum of the theory rather than just the spectrum in the mesonic isotriplet sector. While for the lightest fermion measuring masses from gluonic operators proves to be still challenging, reliable results for glueball states are obtained at the largest fermion mass and, in the mesonic sector, for both fermion masses. As a byproduct of our investigation, we perform a finite-size scaling of the pseudoscalar mass and decay constant. The data presented in this work support the conformal behavior of this theory with an anomalous dimension γ*≃0.37. Journal Article Physical Review D 93 5 2470-0010 2470-0029 28 2 2016 2016-02-28 10.1103/PhysRevD.93.054505 Published by the American Physical Society under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2017-02-06T14:37:34.8575318 2016-05-14T16:51:44.7987633 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics L. Del Debbio 1 B. Lucini 2 A. Patella 3 C. Pica 4 A. Rago 5 Biagio Lucini 0000-0001-8974-8266 6 0027979-06022017143542.pdf PhysRevD.93.054505.pdf 2017-02-06T14:35:42.5500000 Output 660740 application/pdf Version of Record true 2017-02-06T00:00:00.0000000 true
title Large volumes and spectroscopy of walking theories
spellingShingle Large volumes and spectroscopy of walking theories
Biagio Lucini
title_short Large volumes and spectroscopy of walking theories
title_full Large volumes and spectroscopy of walking theories
title_fullStr Large volumes and spectroscopy of walking theories
title_full_unstemmed Large volumes and spectroscopy of walking theories
title_sort Large volumes and spectroscopy of walking theories
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 L. Del Debbio
B. Lucini
A. Patella
C. Pica
A. Rago
Biagio Lucini
format Journal article
container_title Physical Review D
container_volume 93
container_issue 5
publishDate 2016
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/PhysRevD.93.054505
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description A detailed investigation of finite-size effects is performed for SU(2) gauge theory with two fermions in the adjoint representation, which previous lattice studies have shown to be inside the conformal window. The system is investigated with different spatial and temporal boundary conditions on lattices of various spatial and temporal extensions, for two values of the bare fermion mass representing a heavy and light fermion regime. Our study shows that the infinite-volume limit of masses and decay constants in the mesonic sector is reached only when the mass of the pseudoscalar particle MPS and the spatial lattice size L satisfy the relation LMPS≥15. This bound, which is at least a factor of three higher than what is observed in QCD, is a likely consequence of the different spectral signatures of the two theories, with the scalar isosinglet (0++ glueball) being the lightest particle in our model. In addition to stressing the importance of simulating large lattice sizes, our analysis emphasizes the need to understand quantitatively the full spectrum of the theory rather than just the spectrum in the mesonic isotriplet sector. While for the lightest fermion measuring masses from gluonic operators proves to be still challenging, reliable results for glueball states are obtained at the largest fermion mass and, in the mesonic sector, for both fermion masses. As a byproduct of our investigation, we perform a finite-size scaling of the pseudoscalar mass and decay constant. The data presented in this work support the conformal behavior of this theory with an anomalous dimension γ*≃0.37.
published_date 2016-02-28T03:34:01Z
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score 11.016235

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