Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
Abstract We generalize previously obtained results for the (all orders in the ’t Hooft coupling) thermal free energy of bosonic and fermionic large N Chern-Simons theories with fundamental matter, to values of the chemical potential larger than quasiparticle thermal masses. Building on an analysis b...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2020)171 |
| _version_ | 1819059978451812352 |
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| author | Shiraz Minwalla Amiya Mishra Naveen Prabhakar |
| author_facet | Shiraz Minwalla Amiya Mishra Naveen Prabhakar |
| author_sort | Shiraz Minwalla |
| collection | DOAJ |
| description | Abstract We generalize previously obtained results for the (all orders in the ’t Hooft coupling) thermal free energy of bosonic and fermionic large N Chern-Simons theories with fundamental matter, to values of the chemical potential larger than quasiparticle thermal masses. Building on an analysis by Geracie, Goykhman and Son, we present a simple explicit formula for the occupation number for a quasiparticle state of any given energy and charge as a function of the temperature and chemical potential. This formula is a generalization to finite ’t Hooft coupling of the famous occupation number formula of Bose-Einstein statistics, and implies an exclusion principle for Chern-Simons coupled bosons: the total number of bosons occupying any particular state cannot exceed the Chern-Simons level. Specializing our results to zero temperature we construct the phase diagrams of these theories as a function of chemical potential and the UV parameters. At large enough chemical potential, all the bosonic theories we study transit into a compressible Bose condensed phase in which the runaway instability of free Bose condensates is stabilized by the bosonic exclusion principle. This novel Bose condensate is dual to — and reproduces the thermodynamics of — the fermionic Fermi sea. |
| first_indexed | 2024-12-21T14:19:41Z |
| format | Article |
| id | doaj.art-f28d2d3e9dd84de5b43352ec730f95fc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T14:19:41Z |
| publishDate | 2020-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f28d2d3e9dd84de5b43352ec730f95fc2022-12-21T19:00:50ZengSpringerOpenJournal of High Energy Physics1029-84792020-11-01202011112110.1007/JHEP11(2020)171Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principleShiraz Minwalla0Amiya Mishra1Naveen Prabhakar2Department of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract We generalize previously obtained results for the (all orders in the ’t Hooft coupling) thermal free energy of bosonic and fermionic large N Chern-Simons theories with fundamental matter, to values of the chemical potential larger than quasiparticle thermal masses. Building on an analysis by Geracie, Goykhman and Son, we present a simple explicit formula for the occupation number for a quasiparticle state of any given energy and charge as a function of the temperature and chemical potential. This formula is a generalization to finite ’t Hooft coupling of the famous occupation number formula of Bose-Einstein statistics, and implies an exclusion principle for Chern-Simons coupled bosons: the total number of bosons occupying any particular state cannot exceed the Chern-Simons level. Specializing our results to zero temperature we construct the phase diagrams of these theories as a function of chemical potential and the UV parameters. At large enough chemical potential, all the bosonic theories we study transit into a compressible Bose condensed phase in which the runaway instability of free Bose condensates is stabilized by the bosonic exclusion principle. This novel Bose condensate is dual to — and reproduces the thermodynamics of — the fermionic Fermi sea.https://doi.org/10.1007/JHEP11(2020)1711/N ExpansionAnyonsChern-Simons TheoriesDuality in Gauge Field Theories |
| spellingShingle | Shiraz Minwalla Amiya Mishra Naveen Prabhakar Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle Journal of High Energy Physics 1/N Expansion Anyons Chern-Simons Theories Duality in Gauge Field Theories |
| title | Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle |
| title_full | Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle |
| title_fullStr | Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle |
| title_full_unstemmed | Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle |
| title_short | Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle |
| title_sort | fermi seas from bose condensates in chern simons matter theories and a bosonic exclusion principle |
| topic | 1/N Expansion Anyons Chern-Simons Theories Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP11(2020)171 |
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