Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Bennett, Ed; Hong, Deog Ki; Lee, Jong-Wan; Lin, C.-J. David; Lucini, Biagio; Mesiti, Michele; Piai, Maurizio; Rantaharju, Jarno; Vadacchino, Davide

doi:10.1103/physrevd.101.074516

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Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Ed Bennett

, Deog Ki Hong, Jong-Wan Lee, C.-J. David Lin, Biagio Lucini

, Michele Mesiti

, Maurizio Piai

, Jarno Rantaharju

, Davide Vadacchino

Physical Review D, Volume: 101, Issue: 7, Pages: 074516-1 - 074516-46

Swansea University Authors: Ed Bennett , Biagio Lucini , Michele Mesiti , Maurizio Piai , Jarno Rantaharju

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DOI (Published version): 10.1103/physrevd.101.074516

Abstract

We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter eld content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respective...

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Published in:	Physical Review D
ISSN:	2470-0010 2470-0029
Published:	American Physical Society (APS) 2020
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa53899
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first_indexed	2020-04-06T14:12:00Z
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We consider two species of (Dirac) fermions as matter eld content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter elds are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the rst lattice study of this class of theories. The global SU(4) SU(6) symmetry is broken to the Sp(4) SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory. The main results of our quenched calculations are that, with fermions in the 2-index antisymmetricrepresentation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between 1:2 and 2:7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected.</abstract><type>Journal Article</type><journal>Physical Review D</journal><volume>101</volume><journalNumber>7</journalNumber><paginationStart>074516-1</paginationStart><paginationEnd>074516-46</paginationEnd><publisher>American Physical Society (APS)</publisher><issnPrint>2470-0010</issnPrint><issnElectronic>2470-0029</issnElectronic><keywords/><publishedDay>27</publishedDay><publishedMonth>4</publishedMonth><publishedYear>2020</publishedYear><publishedDate>2020-04-27</publishedDate><doi>10.1103/physrevd.101.074516</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-10-20T14:47:44.6662298</lastEdited><Created>2020-04-06T09:17:35.3177122</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Computer Science</level></path><authors><author><firstname>Ed</firstname><surname>Bennett</surname><orcid>0000-0002-1678-6701</orcid><order>1</order></author><author><firstname>Deog Ki</firstname><surname>Hong</surname><order>2</order></author><author><firstname>Jong-Wan</firstname><surname>Lee</surname><order>3</order></author><author><firstname>C.-J. 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spelling	2020-10-20T14:47:44.6662298 v2 53899 2020-04-06 Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false a6b92e0bbaa941372bd4a6aedc564cf5 0000-0002-5565-9844 Michele Mesiti Michele Mesiti true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 5dd2a2d389162bae32578b6601758cfc 0000-0002-0072-7707 Jarno Rantaharju Jarno Rantaharju true false 2020-04-06 SMA We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter eld content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter elds are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the rst lattice study of this class of theories. The global SU(4) SU(6) symmetry is broken to the Sp(4) SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory. The main results of our quenched calculations are that, with fermions in the 2-index antisymmetricrepresentation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between 1:2 and 2:7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected. Journal Article Physical Review D 101 7 074516-1 074516-46 American Physical Society (APS) 2470-0010 2470-0029 27 4 2020 2020-04-27 10.1103/physrevd.101.074516 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2020-10-20T14:47:44.6662298 2020-04-06T09:17:35.3177122 Faculty of Science and Engineering School of Mathematics and Computer Science - Computer Science Ed Bennett 0000-0002-1678-6701 1 Deog Ki Hong 2 Jong-Wan Lee 3 C.-J. David Lin 4 Biagio Lucini 0000-0001-8974-8266 5 Michele Mesiti 0000-0002-5565-9844 6 Maurizio Piai 0000-0002-2251-0111 7 Jarno Rantaharju 0000-0002-0072-7707 8 Davide Vadacchino 9 53899__17139__05ab9316afb44ce5a3ae9c8d5dba96e1.pdf PhysRevD.101.074516.pdf 2020-04-28T08:33:15.8597331 Output 1592972 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution 4.0 International license (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/
title	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
spellingShingle	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions Ed Bennett Biagio Lucini Michele Mesiti Maurizio Piai Jarno Rantaharju
title_short	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
title_full	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
title_fullStr	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
title_full_unstemmed	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
title_sort	Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
author_id_str_mv	e1a8e7927d2b093acdc54e74eac95e38 7e6fcfe060e07a351090e2a8aba363cf a6b92e0bbaa941372bd4a6aedc564cf5 3ce295f2c7cc318bac7da18f9989d8c3 5dd2a2d389162bae32578b6601758cfc
author_id_fullname_str_mv	e1a8e7927d2b093acdc54e74eac95e38_*_Ed Bennett 7e6fcfe060e07a351090e2a8aba363cf__Biagio Lucini a6b92e0bbaa941372bd4a6aedc564cf5__Michele Mesiti 3ce295f2c7cc318bac7da18f9989d8c3__Maurizio Piai 5dd2a2d389162bae32578b6601758cfc_**_Jarno Rantaharju
author	Ed Bennett Biagio Lucini Michele Mesiti Maurizio Piai Jarno Rantaharju
author2	Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Michele Mesiti Maurizio Piai Jarno Rantaharju Davide Vadacchino
format	Journal article
container_title	Physical Review D
container_volume	101
container_issue	7
container_start_page	074516-1
publishDate	2020
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/physrevd.101.074516
publisher	American Physical Society (APS)
college_str	Faculty of Science and Engineering
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department_str	School of Mathematics and Computer Science - Computer Science{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Computer Science
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description	We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter eld content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter elds are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the rst lattice study of this class of theories. The global SU(4) SU(6) symmetry is broken to the Sp(4) SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory. The main results of our quenched calculations are that, with fermions in the 2-index antisymmetricrepresentation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between 1:2 and 2:7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected.
published_date	2020-04-27T04:07:07Z
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Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

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