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Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane

Adi Armoni Orcid Logo, Shigeki Sugimoto

Journal of High Energy Physics, Volume: 2019, Issue: 3

Swansea University Author: Adi Armoni Orcid Logo

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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...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa49862
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first_indexed 2019-04-03T10:14:33Z
last_indexed 2020-07-23T19:10:03Z
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spelling 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
container_volume 2019
container_issue 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
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 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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score 11.013731

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