For lattice QCD spectral reconstruction, the Wertevorrat from Nevanlinna-Pick interpolation bounds the analytic-continuation uncertainty, and in a model test this bound falls roughly exponentially with the number of data points.
Bosonic Nevanlinna Analytic Continuation
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Analytical continuation (AC) connects theoretical calculations and experimentally measurable quantities. The recently proposed Nevanlinna AC method is capable of accurately reproducing the sharp features of spectral functions at high frequencies while maintaining the causality of the response function. However, their use is currently limited to fermions. Here, we present an extension of this method to bosons using the hyperbolic tangent trick, allowing us to transform bosons into auxiliary fermions to which the Nevanlinna analytic continuation can be applied.
citation-role summary
background 1
citation-polarity summary
fields
hep-lat 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Approaching the Inverse Problem: Toward Lattice QCD Calculations of Inclusive Hadronic Quantities
For lattice QCD spectral reconstruction, the Wertevorrat from Nevanlinna-Pick interpolation bounds the analytic-continuation uncertainty, and in a model test this bound falls roughly exponentially with the number of data points.