28 July 2024 to 3 August 2024
Europe/London timezone

Effects of FTHMC with 2+1 Domain Wall Fermions on Autocorrelation Times via Master-Field Technique

30 Jul 2024, 16:15
20m
Talk Algorithms and Artificial Intelligence Algorithms and artificial intelligence

Speaker

Shuhei Yamamoto (Brookhaven National Laboratory)

Description

Field-Transformed Hybrid Monte-Carlo (FTHMC) algorithm potentially mitigates the issue of critical slowing down by combining HMC with a field transformation, originally proposed by Luscher and motivated
as trivializing the theory.  For the transformation, we use an invertible discrete smearing step modelled on the Wilson flow and applied it to the system with Iwasaki gauge fields and 2+1 Domain-Wall fermions.  We have studied its effect of different smearing parameter values on autocorrelation times of Wilson-flowed energies with different flow time.  We have found a reduction of exponential autocorrelation times for infra-red observables
such as Wilson flowed energy densities and topological charge densities when larger value of the smearing parameter is used.  In determination of autocorrelation times, autocorrelation times of local observables are computed using a new approach akin to master-field technique, allowing us to estimate the effect of FT with different parameters based on a small number of configurations.

Primary author

Shuhei Yamamoto (Brookhaven National Laboratory)

Co-authors

Lu-Chang Jin Peter Boyle (University of Edinburgh) Taku Izubuchi (Brookhaven National Laboratory)

Presentation materials