Averages of Exponentials from the point of view of Superintegrability
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915896043241472 |
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| author | Morozov, A. |
| author_facet | Morozov, A. |
| contents | We calculate Gaussian averages of arbitrary exponentials of the matrix variable $X$ with the help of superintegrability, which provides explicit expressions for Schur averages. As in the simpler cases the answer is expressed in terms of Laguerre polynomials, but in a somewhat sophisticated way. It involves triangular sum over partitions, with simple exponential factor and a complicated polynomial prefactor. Some ingredients of the formula are not found in full generality and there is still a room for further work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20213 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Averages of Exponentials from the point of view of Superintegrability Morozov, A. High Energy Physics - Theory Mathematical Physics We calculate Gaussian averages of arbitrary exponentials of the matrix variable $X$ with the help of superintegrability, which provides explicit expressions for Schur averages. As in the simpler cases the answer is expressed in terms of Laguerre polynomials, but in a somewhat sophisticated way. It involves triangular sum over partitions, with simple exponential factor and a complicated polynomial prefactor. Some ingredients of the formula are not found in full generality and there is still a room for further work. |
| title | Averages of Exponentials from the point of view of Superintegrability |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2601.20213 |