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Metastable vacua in large-N QCD3
Journal of High Energy Physics, Volume: 2020, Issue: 1
Swansea University Author: Adi Armoni
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DOI (Published version): 10.1007/jhep01(2020)004
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...
Published in: | Journal of High Energy Physics |
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ISSN: | 1029-8479 |
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Springer Science and Business Media LLC
2020
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URI: | https://cronfa.swan.ac.uk/Record/cronfa51286 |
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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 |
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Journal of High Energy Physics |
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2020 |
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2020 |
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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 |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
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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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1763753263044231168 |
score |
11.035349 |