Automated label flows for excited states of correlation functions in lattice gauge theory

Understand

Extracting excited states from lattice gauge theory correlation functions can be achieved through chi-squared minimization fits or algebraic approaches such as the variational method and Prony's method.

• Performing any kind of error analysis, such as bootstrap resampling, often leads to overlapping confidence regions of model parameters, even when the spectrum is not particularly dense.
• In order to correctly estimate errors, one must beware of mislabeling the states.
• In this work, we provide an algorithm that we call automated label flows which consistently and systematically identifies a deterministic labeling of states.