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- W4307414104 abstract "The complete, nonperturbative content of random matrix models is described by resurgent-transseries -- general solutions to their corresponding string-equations. These transseries include exponentially-suppressed multi-instanton amplitudes obtained by eigenvalue tunneling, but they also contain exponentially-enhanced and mixed instanton-like sectors with no known matrix model interpretation. This work shows how these sectors can be also described by eigenvalue tunneling in matrix models -- but on the non-physical sheet of the spectral curve describing their large-N limit. This picture further explains the full resurgence of random matrices via analysis of all possible eigenvalue integration-contours. How to calculate these anti eigenvalue-tunneling amplitudes is explained in detail and in various examples, such as the cubic and quartic matrix models, and their double-scaling limit to Painleve I. This further provides direct matrix-model derivations of their resurgent Stokes data, which were recently obtained by different techniques." @default.
- W4307414104 created "2022-11-01" @default.
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- W4307414104 date "2022-10-24" @default.
- W4307414104 modified "2023-09-28" @default.
- W4307414104 title "New Instantons for Matrix Models" @default.
- W4307414104 doi "https://doi.org/10.48550/arxiv.2210.13479" @default.
- W4307414104 hasPublicationYear "2022" @default.
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