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Metastable vacua in large-N QCD3
Swansea Univ, Coll Sci, Dept Phys, Swansea SA2 8PP, W Glam, Wales.
Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-8270-4620
SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA;Weizmann Inst Sci, Dept Particle Phys & Astrophys, Herzl St 234, Rehovot, Israel.
2020 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 4Article in journal (Refereed) Published
Abstract [en]

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 explicitly realizes 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. We show that 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.

Place, publisher, year, edition, pages
2020. no 1, article id 4
Keywords [en]
1/N Expansion, Chern-Simons Theories, Field Theories in Lower Dimensions
National Category
Subatomic Physics Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-407440DOI: 10.1007/JHEP01(2020)004ISI: 000513146300004OAI: oai:DiVA.org:uu-407440DiVA, id: diva2:1416853
Funder
EU, European Research Council, 639220Swedish Research Council, 2018-05572Available from: 2020-03-25 Created: 2020-03-25 Last updated: 2020-03-25Bibliographically approved

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