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Towards mixed phase correlators in monomial matrix models.

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Title: Towards mixed phase correlators in monomial matrix models.
Authors: Popolitov, A.1,2,3 (AUTHOR) popolit@gmail.com
Source: European Physical Journal C -- Particles & Fields. Dec2025, Vol. 85 Issue 12, p1-8. 8p.
Subjects: Correlators, Schur functions, Matrices (Mathematics)
Abstract: Correlators in monomial Hermitian matrix model strongly depend on the choice of eigenvalue integration contours. We express Schur correlator in case of several different integration contours (mixed phase case) as a sum over products of Schur correlators for just one type of contour (pure phase), where expansion coefficients are manifestly made from Littlewood–Richardson and Mugnaghan–Nakayama coefficients. Further, for pure phase Schur correlators we find concise superintegrability formulas that unify both usual and exotic cases, that before looked very different from one another. [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: Towards mixed phase correlators in monomial matrix models.
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  Data: Correlators in monomial Hermitian matrix model strongly depend on the choice of eigenvalue integration contours. We express Schur correlator in case of several different integration contours (mixed phase case) as a sum over products of Schur correlators for just one type of contour (pure phase), where expansion coefficients are manifestly made from Littlewood–Richardson and Mugnaghan–Nakayama coefficients. Further, for pure phase Schur correlators we find concise superintegrability formulas that unify both usual and exotic cases, that before looked very different from one another. [ABSTRACT FROM AUTHOR]
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  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/s10052-025-15154-1
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              Text: Dec2025
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