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Itzykson-Zuber correlators from character expansion.

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Title: Itzykson-Zuber correlators from character expansion.
Authors: Morozov, Alexei1,2,3 (AUTHOR) morozov@itep.ru, Sifat, Hasib1 (AUTHOR) sifat.ma@phystech.edu
Source: European Physical Journal C -- Particles & Fields. Jun2025, Vol. 85 Issue 6, p1-17. 17p.
Subjects: Correlators, Eigenvalues, Polynomials
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. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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.)
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  Data: Itzykson-Zuber correlators from character expansion.
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  Data: <searchLink fieldCode="AR" term="%22Morozov%2C+Alexei%22">Morozov, Alexei</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> morozov@itep.ru</i><br /><searchLink fieldCode="AR" term="%22Sifat%2C+Hasib%22">Sifat, Hasib</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sifat.ma@phystech.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jun2025, Vol. 85 Issue 6, p1-17. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Correlators%22">Correlators</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink>
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  Label: Abstract
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature 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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        Value: 10.1140/epjc/s10052-025-14374-9
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      – Code: eng
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      – SubjectFull: Polynomials
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              Text: Jun2025
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              Y: 2025
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