2–8 Nov 2025
TIFR Mumbai
Asia/Kolkata timezone

Moment problems and spectral functions

6 Nov 2025, 15:10
20m
Homi Bhabha Auditorium Annex

Homi Bhabha Auditorium Annex

Speaker

Ryan Abbott (Columbia University)

Description

Methods based on analyticity, such as Nevanlinna-Pick interpolation, have the promise of providing rigorous constraints on real-time observables (e.g. spectral functions), assuming only causal consistency of the underlying euclidean data. In this talk, I will review recently discovered connections between Nevanlinna-Pick interpolation and moment problems, which provide a discrete euclidean time analog to Nevanlinna-Pick interpolation for reconstructing spectral functions, as well connections to Krylov-space methods for correlator analyses (Lanczos/Rayleigh-Ritz).

Parallel Session (for talks only) Theoretical developments and applications beyond Standard Model

Authors

Patrick Oare Ryan Abbott (Columbia University) William Jay (Colorado State University)

Presentation materials