Work

Averages of exponentials from the point of view of superintegrability

Year: 2026

Type: article

Abstract: 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.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2026.140419

Author: A. Morozov

Institutions: Moscow Institute of Physics and Technology, Institute for Information Transmission Problems, Institute for Theoretical and Experimental Physics

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Russian Science Foundation

Award: G4567696537