Ryan Abbott, Columbia, [HET Seminar] Bootstrapping spectral functions

Thursday 26 Feb 2026, 11:00 → 13:00 US/Eastern

Small Seminar Room

The problem of reconstructing spectral densities from noisy Euclidean-time Monte-Carlo data provides a valuable test-bed for investigating real-time and inclusive observables, and sign problems more broadly. In this talk, I will discuss new methods for spectral reconstructions that unify several approaches, including analyticity-based approaches (Nevanlinna-Pick interpolation, moment problems), convex programming approaches, and the commonly used Hansen, Lupo, and Tantalo (HLT) method. These methods use tools originally developed for the conformal bootstrap in order to provide rigorous bounds on smeared spectral functions, and are directly applicable to noisy Monte-Carlo data.  I will review the methods and their relations, and also discuss potential future directions.

 

https://bnl.zoomgov.com/j/16010362754?pwd=Z1l1SS9JUDlyR1hSUHNyaDV1dTZHUT09