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Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane
Journal of High Energy Physics, Volume: 2019, Issue: 3
Swansea University Author: Adi Armoni
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DOI (Published version): 10.1007/jhep03(2019)175
Abstract
We study the vacuum structure of N_f flavour two-dimensional QED with an arbitrary integer charge k. We find that the axial symmetry is spontaneously broken from Z_(kN_f) to Z_(N_f) due to the non-vanishing condensate of a flavour singlet operator, resulting in k degenerate vacua. An explicit constr...
Published in: | Journal of High Energy Physics |
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ISSN: | 1029-8479 |
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Springer Science and Business Media LLC
2019
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URI: | https://cronfa.swan.ac.uk/Record/cronfa49862 |
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<?xml version="1.0"?><rfc1807><datestamp>2020-07-23T17:54:29.8942091</datestamp><bib-version>v2</bib-version><id>49862</id><entry>2019-04-02</entry><title>Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane</title><swanseaauthors><author><sid>3f75faad0563a2d3b191191a2efee956</sid><ORCID>0000-0002-8105-0645</ORCID><firstname>Adi</firstname><surname>Armoni</surname><name>Adi Armoni</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2019-04-02</date><deptcode>SPH</deptcode><abstract>We study the vacuum structure of N_f flavour two-dimensional QED with an arbitrary integer charge k. We find that the axial symmetry is spontaneously broken from Z_(kN_f) to Z_(N_f) due to the non-vanishing condensate of a flavour singlet operator, resulting in k degenerate vacua. An explicit construction of the k vacua is given by using a non-commutative algebra obtained as a central extension of the Z_(kN_f) discrete axial symmetry and Z_k 1-form (center) symmetry, which represents the mixed 't Hooft anomaly between them. We then give a string theory realization of such a system with k=2 and N_f=8 by putting an anti D-string in the vicinity of an orientifold O1- plane and study its dynamics using the two-dimensional gauge theory realized on it. We calculate the potential between the anti D-string and the O1- plane and find repulsion in both weak and strong coupling regimes of the two dimensional gauge theory, corresponding to long and short distances, respectively. We also calculate the potential for the (Q,-1) string (the bound state of an anti D-string and Q fundamental strings) located close to the O1- plane. The result is non-perturbative in the string coupling.</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>2019</volume><journalNumber>3</journalNumber><publisher>Springer Science and Business Media LLC</publisher><issnElectronic>1029-8479</issnElectronic><keywords>Anomalies in Field and String Theories, Brane Dynamics, Confinement in Gauge Theories, Field Theories in Lower Dimensions</keywords><publishedDay>27</publishedDay><publishedMonth>3</publishedMonth><publishedYear>2019</publishedYear><publishedDate>2019-03-27</publishedDate><doi>10.1007/jhep03(2019)175</doi><url/><notes/><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-07-23T17:54:29.8942091</lastEdited><Created>2019-04-02T09:29:56.8222722</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Adi</firstname><surname>Armoni</surname><orcid>0000-0002-8105-0645</orcid><order>1</order></author><author><firstname>Shigeki</firstname><surname>Sugimoto</surname><order>2</order></author></authors><documents><document><filename>0049862-18042019143946.pdf</filename><originalFilename>49862.pdf</originalFilename><uploaded>2019-04-18T14:39:46.4600000</uploaded><type>Output</type><contentLength>670970</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><documentNotes>Released under the terms of a Creative Commons Attribution License (CC-BY).</documentNotes><copyrightCorrect>true</copyrightCorrect><language>eng</language><licence>https://creativecommons.org/licenses/by/4.0/</licence></document></documents><OutputDurs/></rfc1807> |
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2020-07-23T17:54:29.8942091 v2 49862 2019-04-02 Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2019-04-02 SPH We study the vacuum structure of N_f flavour two-dimensional QED with an arbitrary integer charge k. We find that the axial symmetry is spontaneously broken from Z_(kN_f) to Z_(N_f) due to the non-vanishing condensate of a flavour singlet operator, resulting in k degenerate vacua. An explicit construction of the k vacua is given by using a non-commutative algebra obtained as a central extension of the Z_(kN_f) discrete axial symmetry and Z_k 1-form (center) symmetry, which represents the mixed 't Hooft anomaly between them. We then give a string theory realization of such a system with k=2 and N_f=8 by putting an anti D-string in the vicinity of an orientifold O1- plane and study its dynamics using the two-dimensional gauge theory realized on it. We calculate the potential between the anti D-string and the O1- plane and find repulsion in both weak and strong coupling regimes of the two dimensional gauge theory, corresponding to long and short distances, respectively. We also calculate the potential for the (Q,-1) string (the bound state of an anti D-string and Q fundamental strings) located close to the O1- plane. The result is non-perturbative in the string coupling. Journal Article Journal of High Energy Physics 2019 3 Springer Science and Business Media LLC 1029-8479 Anomalies in Field and String Theories, Brane Dynamics, Confinement in Gauge Theories, Field Theories in Lower Dimensions 27 3 2019 2019-03-27 10.1007/jhep03(2019)175 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-23T17:54:29.8942091 2019-04-02T09:29:56.8222722 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Adi Armoni 0000-0002-8105-0645 1 Shigeki Sugimoto 2 0049862-18042019143946.pdf 49862.pdf 2019-04-18T14:39:46.4600000 Output 670970 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/ |
title |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane |
spellingShingle |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane Adi Armoni |
title_short |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane |
title_full |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane |
title_fullStr |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane |
title_full_unstemmed |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane |
title_sort |
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane |
author_id_str_mv |
3f75faad0563a2d3b191191a2efee956 |
author_id_fullname_str_mv |
3f75faad0563a2d3b191191a2efee956_***_Adi Armoni |
author |
Adi Armoni |
author2 |
Adi Armoni Shigeki Sugimoto |
format |
Journal article |
container_title |
Journal of High Energy Physics |
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2019 |
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3 |
publishDate |
2019 |
institution |
Swansea University |
issn |
1029-8479 |
doi_str_mv |
10.1007/jhep03(2019)175 |
publisher |
Springer Science and Business Media LLC |
college_str |
Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 |
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active_str |
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description |
We study the vacuum structure of N_f flavour two-dimensional QED with an arbitrary integer charge k. We find that the axial symmetry is spontaneously broken from Z_(kN_f) to Z_(N_f) due to the non-vanishing condensate of a flavour singlet operator, resulting in k degenerate vacua. An explicit construction of the k vacua is given by using a non-commutative algebra obtained as a central extension of the Z_(kN_f) discrete axial symmetry and Z_k 1-form (center) symmetry, which represents the mixed 't Hooft anomaly between them. We then give a string theory realization of such a system with k=2 and N_f=8 by putting an anti D-string in the vicinity of an orientifold O1- plane and study its dynamics using the two-dimensional gauge theory realized on it. We calculate the potential between the anti D-string and the O1- plane and find repulsion in both weak and strong coupling regimes of the two dimensional gauge theory, corresponding to long and short distances, respectively. We also calculate the potential for the (Q,-1) string (the bound state of an anti D-string and Q fundamental strings) located close to the O1- plane. The result is non-perturbative in the string coupling. |
published_date |
2019-03-27T04:01:06Z |
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1763753136661463040 |
score |
11.035349 |