Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case
Abstract In this paper, we study the symmetry decomposition of Rényi negativity into charge imbalance sectors for the 1+1 dimensional free compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals. We obtain multicharged and charged Rényi negativity m...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2023)118 |
| _version_ | 1797779140802248704 |
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| author | Himanshu Gaur Urjit A. Yajnik |
| author_facet | Himanshu Gaur Urjit A. Yajnik |
| author_sort | Himanshu Gaur |
| collection | DOAJ |
| description | Abstract In this paper, we study the symmetry decomposition of Rényi negativity into charge imbalance sectors for the 1+1 dimensional free compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals. We obtain multicharged and charged Rényi negativity moments by computing the four-point correlator of flux-generating vertex operators on the Riemann surface. We then obtain charge imbalance resolved Rényi negativity by taking the Fourier transform of the charged moments. Finally, we match our results against the tight-binding model as a numerical check. |
| first_indexed | 2024-03-12T23:26:29Z |
| format | Article |
| id | doaj.art-b9b0e26cd98e464db7ce41bd448f382d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T23:26:29Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b9b0e26cd98e464db7ce41bd448f382d2023-07-16T11:06:43ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023212610.1007/JHEP02(2023)118Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval caseHimanshu Gaur0Urjit A. Yajnik1Department of Physics, Indian Institute of Technology BombayDepartment of Physics, Indian Institute of Technology BombayAbstract In this paper, we study the symmetry decomposition of Rényi negativity into charge imbalance sectors for the 1+1 dimensional free compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals. We obtain multicharged and charged Rényi negativity moments by computing the four-point correlator of flux-generating vertex operators on the Riemann surface. We then obtain charge imbalance resolved Rényi negativity by taking the Fourier transform of the charged moments. Finally, we match our results against the tight-binding model as a numerical check.https://doi.org/10.1007/JHEP02(2023)118Field Theories in Lower DimensionsGlobal SymmetriesScale and Conformal Symmetries |
| spellingShingle | Himanshu Gaur Urjit A. Yajnik Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case Journal of High Energy Physics Field Theories in Lower Dimensions Global Symmetries Scale and Conformal Symmetries |
| title | Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case |
| title_full | Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case |
| title_fullStr | Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case |
| title_full_unstemmed | Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case |
| title_short | Charge imbalance resolved Rényi negativity for free compact boson: Two disjoint interval case |
| title_sort | charge imbalance resolved renyi negativity for free compact boson two disjoint interval case |
| topic | Field Theories in Lower Dimensions Global Symmetries Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP02(2023)118 |
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