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Metastable vacua in large-N QCD3

Adi Armoni Orcid Logo, Thomas T. Dumitrescu, Guido Festuccia, Zohar Komargodski

Journal of High Energy Physics, Volume: 2020, Issue: 1

Swansea University Author: Adi Armoni Orcid Logo

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Abstract

We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD3) with gauge group SU(N), Nf fundamental quark flavors, and a level-k Chern-Simons term. This analysis can be reliably carried out in the large-N, fixed Nf,k limit of the theory, up to certain assumptions that we spel...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa51286
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first_indexed 2019-07-31T22:30:22Z
last_indexed 2023-01-11T14:28:01Z
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spelling 2022-10-31T16:50:48.8999483 v2 51286 2019-07-31 Metastable vacua in large-N QCD3 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2019-07-31 SPH We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD3) with gauge group SU(N), Nf fundamental quark flavors, and a level-k Chern-Simons term. This analysis can be reliably carried out in the large-N, fixed Nf,k limit of the theory, up to certain assumptions that we spell out explicitly. At leading order in the large-N expansion we find Nf+1 distinct, exactly degenerate vacuum superselection sectors with different patterns of flavor-symmetry breaking. The associated massless Nambu-Goldstone bosons are generically accompanied by topological Chern-Simons theories. This set of vacua contains many candidate phases previously proposed for QCD3. At subleading order in the large-N expansion, the exact degeneracy between the different superselection sectors is lifted, leading to a multitude of metastable vacua. If we dial the quark masses, different metastable vacua can become the true vacuum of the theory, leading to a sequence of first-order phase transitions. This intricate large-N dynamics can be captured by the previously proposed bosonic dual theories for QCD3, provided these bosonic duals are furnished with a suitable scalar potential. Interestingly, this potential must include terms beyond quartic order in the scalar fields. Journal Article Journal of High Energy Physics 2020 1 Springer Science and Business Media LLC 1029-8479 1/N expansion, Chern-Simons theories, field theories in lower dimensions 2 1 2020 2020-01-02 10.1007/jhep01(2020)004 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2022-10-31T16:50:48.8999483 2019-07-31T20:45:40.7172070 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Adi Armoni 0000-0002-8105-0645 1 Thomas T. Dumitrescu 2 Guido Festuccia 3 Zohar Komargodski 4 51286__16262__6ae6e4163b2e4111a6a4bbee232a7f5f.pdf 51286.pdf 2020-01-10T11:23:17.6300883 Output 899248 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 Metastable vacua in large-N QCD3
spellingShingle Metastable vacua in large-N QCD3
Adi Armoni
title_short Metastable vacua in large-N QCD3
title_full Metastable vacua in large-N QCD3
title_fullStr Metastable vacua in large-N QCD3
title_full_unstemmed Metastable vacua in large-N QCD3
title_sort Metastable vacua in large-N QCD3
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi Armoni
author Adi Armoni
author2 Adi Armoni
Thomas T. Dumitrescu
Guido Festuccia
Zohar Komargodski
format Journal article
container_title Journal of High Energy Physics
container_volume 2020
container_issue 1
publishDate 2020
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep01(2020)004
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
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description We reexamine the vacuum structure of three-dimensional quantum chromodynamics (QCD3) with gauge group SU(N), Nf fundamental quark flavors, and a level-k Chern-Simons term. This analysis can be reliably carried out in the large-N, fixed Nf,k limit of the theory, up to certain assumptions that we spell out explicitly. At leading order in the large-N expansion we find Nf+1 distinct, exactly degenerate vacuum superselection sectors with different patterns of flavor-symmetry breaking. The associated massless Nambu-Goldstone bosons are generically accompanied by topological Chern-Simons theories. This set of vacua contains many candidate phases previously proposed for QCD3. At subleading order in the large-N expansion, the exact degeneracy between the different superselection sectors is lifted, leading to a multitude of metastable vacua. If we dial the quark masses, different metastable vacua can become the true vacuum of the theory, leading to a sequence of first-order phase transitions. This intricate large-N dynamics can be captured by the previously proposed bosonic dual theories for QCD3, provided these bosonic duals are furnished with a suitable scalar potential. Interestingly, this potential must include terms beyond quartic order in the scalar fields.
published_date 2020-01-02T04:03:07Z
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