Density of observables from local derivatives

by Rasmus Larsen

Thursday Jul 18, 2024, 2:15 PM → 3:45 PM Europe/Berlin

D6-135 (UHG)

I will discuss my latest paper on improving the precision of measurements in numerical studies by finding the density of states for an observable using how the volume changes when the observable changes.
For this, we need to derive a formula to calculate the local change to the log of any density of states for smooth real observables.
I will show some examples of how to use the formula, analytically and in Monte-Carlo simulations. I will also show results for applying the technique to the Wilson Line correlator measurement in lattice QCD.
The improvements to the precision of measurements depend on the observable and system, but can for example for the Wilson line correlator give improvements of up to 4 times at large complex time.

Link to paper: https://arxiv.org/abs/2401.01211 

2024-07-18_RasmusLarsen.pdf