The unitary Fermi gas at large charge and large N
| Title: | The unitary Fermi gas at large charge and large N |
|---|---|
| Authors: | Hellerman, Simeon, Krichevskiy, Daniil, Orlando, Domenico, Pellizzani, Vito, Reffert, Susanne, Swanson, Ian |
| Publication Year: | 2023 |
| Collection: | Condensed Matter High Energy Physics - Theory |
| Subject Terms: | High Energy Physics - Theory, Condensed Matter - Quantum Gases |
| More Details: | We study the unitary Fermi gas in a harmonic trapping potential starting from a microscopic theory in the limit of large charge and large number of fermion flavors N. In this regime, we present an algorithmic procedure for extracting data from perturbation theory, order-by-order, without the need for other assumptions. We perform a gradient expansion in the interior of the particle cloud, sufficiently far from the cloud edge where the particle density drops rapidly to zero. In this latter region we present the first microscopic computation characterizing the contribution of the edge terms. The microscopic theory reproduces the predictions of the superfluid EFT, including the action, the form of the gap equation, and the energy of the system in a harmonic trap (which maps, via the non-relativistic state-operator correspondence, to the scaling dimension of the lowest operator of charge Q). We additionally give the Wilsonian coefficients at leading order in N up to NNLO in the large-charge expansion. Comment: 30 pages. Matches published version in JHEP |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2311.14793 |
| Accession Number: | edsarx.2311.14793 |
| Database: | arXiv |
| FullText | Text: Availability: 0 CustomLinks: – Url: http://arxiv.org/abs/2311.14793 Name: EDS - Arxiv Category: fullText Text: View this record from Arxiv MouseOverText: View this record from Arxiv – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsarx&genre=article&issn=&ISBN=&volume=&issue=&date=20231124&spage=&pages=&title=The unitary Fermi gas at large charge and large N&atitle=The%20unitary%20Fermi%20gas%20at%20large%20charge%20and%20large%20N&aulast=Hellerman%2C%20Simeon&id=DOI: Name: Full Text Finder (for New FTF UI) (s8985755) Category: fullText Text: Find It @ SCU Libraries MouseOverText: Find It @ SCU Libraries |
|---|---|
| Header | DbId: edsarx DbLabel: arXiv An: edsarx.2311.14793 RelevancyScore: 1073 AccessLevel: 3 PubType: Report PubTypeId: report PreciseRelevancyScore: 1073.15966796875 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: The unitary Fermi gas at large charge and large N – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hellerman%2C+Simeon%22">Hellerman, Simeon</searchLink><br /><searchLink fieldCode="AR" term="%22Krichevskiy%2C+Daniil%22">Krichevskiy, Daniil</searchLink><br /><searchLink fieldCode="AR" term="%22Orlando%2C+Domenico%22">Orlando, Domenico</searchLink><br /><searchLink fieldCode="AR" term="%22Pellizzani%2C+Vito%22">Pellizzani, Vito</searchLink><br /><searchLink fieldCode="AR" term="%22Reffert%2C+Susanne%22">Reffert, Susanne</searchLink><br /><searchLink fieldCode="AR" term="%22Swanson%2C+Ian%22">Swanson, Ian</searchLink> – Name: DatePubCY Label: Publication Year Group: Date Data: 2023 – Name: Subset Label: Collection Group: HoldingsInfo Data: Condensed Matter<br />High Energy Physics - Theory – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22High+Energy+Physics+-+Theory%22">High Energy Physics - Theory</searchLink><br /><searchLink fieldCode="DE" term="%22Condensed+Matter+-+Quantum+Gases%22">Condensed Matter - Quantum Gases</searchLink> – Name: Abstract Label: Description Group: Ab Data: We study the unitary Fermi gas in a harmonic trapping potential starting from a microscopic theory in the limit of large charge and large number of fermion flavors N. In this regime, we present an algorithmic procedure for extracting data from perturbation theory, order-by-order, without the need for other assumptions. We perform a gradient expansion in the interior of the particle cloud, sufficiently far from the cloud edge where the particle density drops rapidly to zero. In this latter region we present the first microscopic computation characterizing the contribution of the edge terms. The microscopic theory reproduces the predictions of the superfluid EFT, including the action, the form of the gap equation, and the energy of the system in a harmonic trap (which maps, via the non-relativistic state-operator correspondence, to the scaling dimension of the lowest operator of charge Q). We additionally give the Wilsonian coefficients at leading order in N up to NNLO in the large-charge expansion.<br />Comment: 30 pages. Matches published version in JHEP – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2311.14793" linkWindow="_blank">http://arxiv.org/abs/2311.14793</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.2311.14793 |
| PLink | https://login.libproxy.scu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2311.14793 |
| RecordInfo | BibRecord: BibEntity: Subjects: – SubjectFull: High Energy Physics - Theory Type: general – SubjectFull: Condensed Matter - Quantum Gases Type: general Titles: – TitleFull: The unitary Fermi gas at large charge and large N Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hellerman, Simeon – PersonEntity: Name: NameFull: Krichevskiy, Daniil – PersonEntity: Name: NameFull: Orlando, Domenico – PersonEntity: Name: NameFull: Pellizzani, Vito – PersonEntity: Name: NameFull: Reffert, Susanne – PersonEntity: Name: NameFull: Swanson, Ian IsPartOfRelationships: – BibEntity: Dates: – D: 24 M: 11 Type: published Y: 2023 |
| ResultId | 1 |