Itzykson-Zuber correlators from character expansion
Abstract We demonstrate the consistency of character expansion for the Itzykson-Zuber (IZ) model in terms of Schur polynomials with the old formulas for pair correlators with the IZ measure. An essential new feature of the correlators is that they are not symmetric in eigenvalues – and thus can not...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14374-9 |
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| _version_ | 1849334582585851904 |
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| author | Alexei Morozov Hasib Sifat |
| author_facet | Alexei Morozov Hasib Sifat |
| author_sort | Alexei Morozov |
| collection | DOAJ |
| description | Abstract We demonstrate the consistency of character expansion for the Itzykson-Zuber (IZ) model in terms of Schur polynomials with the old formulas for pair correlators with the IZ measure. An essential new feature of the correlators is that they are not symmetric in eigenvalues – and thus can not be expressed through Schur polynomials only. Instead, we demonstrate that an expression is possible in terms of Schur derivatives. This opens a new way to study arbitrary IZ correlators of any order in character expansion. |
| format | Article |
| id | doaj-art-cbb5ee03521642afab7659f7d71c8f7a |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-cbb5ee03521642afab7659f7d71c8f7a2025-08-20T03:45:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185611710.1140/epjc/s10052-025-14374-9Itzykson-Zuber correlators from character expansionAlexei Morozov0Hasib Sifat1MIPTMIPTAbstract We demonstrate the consistency of character expansion for the Itzykson-Zuber (IZ) model in terms of Schur polynomials with the old formulas for pair correlators with the IZ measure. An essential new feature of the correlators is that they are not symmetric in eigenvalues – and thus can not be expressed through Schur polynomials only. Instead, we demonstrate that an expression is possible in terms of Schur derivatives. This opens a new way to study arbitrary IZ correlators of any order in character expansion.https://doi.org/10.1140/epjc/s10052-025-14374-9 |
| spellingShingle | Alexei Morozov Hasib Sifat Itzykson-Zuber correlators from character expansion European Physical Journal C: Particles and Fields |
| title | Itzykson-Zuber correlators from character expansion |
| title_full | Itzykson-Zuber correlators from character expansion |
| title_fullStr | Itzykson-Zuber correlators from character expansion |
| title_full_unstemmed | Itzykson-Zuber correlators from character expansion |
| title_short | Itzykson-Zuber correlators from character expansion |
| title_sort | itzykson zuber correlators from character expansion |
| url | https://doi.org/10.1140/epjc/s10052-025-14374-9 |
| work_keys_str_mv | AT alexeimorozov itzyksonzubercorrelatorsfromcharacterexpansion AT hasibsifat itzyksonzubercorrelatorsfromcharacterexpansion |