Analysis of the QCD Kondo phase using random matrices.
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| Title: | Analysis of the QCD Kondo phase using random matrices. |
|---|---|
| Authors: | Kanazawa, Takuya1 (AUTHOR) tkanazawa@ba.kobegakuin.ac.jp |
| Source: | Modern Physics Letters A. 7/30/2026, Vol. 41 Issue 23, p1-16. 16p. |
| Subjects: | Random matrices, Quantum chromodynamics, Symmetry (Physics), Nambu-Goldstone bosons, Mathematical symmetry |
| Abstract: | In this paper, we propose a novel random matrix model that describes the QCD Kondo phase. The model correctly implements both the chiral symmetry of light quarks and the SU (2) spin symmetry of heavy quarks. We analytically take the large-N limit with N the matrix size and show that the model has three phases: the pure Kondo phase with no chiral condensate, the pure chirally broken phase with no Kondo condensate, and the coexistence phase. The model predicts that the pairing form of the Kondo condensate in the coexistence phase is significantly altered compared to the pure Kondo phase. For each phase, we rigorously derive the low-energy effective theory of Nambu–Goldstone modes and obtain compact closed expressions for the partition function with external sources. We also include a chiral chemical potential into the model and examine the vacuum structure. [ABSTRACT FROM AUTHOR] |
| Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194948013 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Analysis of the QCD Kondo phase using random matrices. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kanazawa%2C+Takuya%22">Kanazawa, Takuya</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tkanazawa@ba.kobegakuin.ac.jp</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+A%22">Modern Physics Letters A</searchLink>. 7/30/2026, Vol. 41 Issue 23, p1-16. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Random+matrices%22">Random matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+chromodynamics%22">Quantum chromodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetry+%28Physics%29%22">Symmetry (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Nambu-Goldstone+bosons%22">Nambu-Goldstone bosons</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+symmetry%22">Mathematical symmetry</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we propose a novel random matrix model that describes the QCD Kondo phase. The model correctly implements both the chiral symmetry of light quarks and the SU (2) spin symmetry of heavy quarks. We analytically take the large-N limit with N the matrix size and show that the model has three phases: the pure Kondo phase with no chiral condensate, the pure chirally broken phase with no Kondo condensate, and the coexistence phase. The model predicts that the pairing form of the Kondo condensate in the coexistence phase is significantly altered compared to the pure Kondo phase. For each phase, we rigorously derive the low-energy effective theory of Nambu–Goldstone modes and obtain compact closed expressions for the partition function with external sources. We also include a chiral chemical potential into the model and examine the vacuum structure. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S021773232650121X Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 1 Subjects: – SubjectFull: Random matrices Type: general – SubjectFull: Quantum chromodynamics Type: general – SubjectFull: Symmetry (Physics) Type: general – SubjectFull: Nambu-Goldstone bosons Type: general – SubjectFull: Mathematical symmetry Type: general Titles: – TitleFull: Analysis of the QCD Kondo phase using random matrices. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kanazawa, Takuya IsPartOfRelationships: – BibEntity: Dates: – D: 30 M: 07 Text: 7/30/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02177323 Numbering: – Type: volume Value: 41 – Type: issue Value: 23 Titles: – TitleFull: Modern Physics Letters A Type: main |
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