Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Algorithms and Artificial Intelligence
Improvement in Autocorrelation Times Measured by the Master-Field Technique using Field Transformation HMC in 2+1 Domain Wall Fermion Simulations
S. Yamamoto*, P. Boyle, T. Izubuchi, L. Jin, C. Lehner and N. Matsumoto
*: corresponding author
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Pre-published on: February 19, 2025
Published on:
Abstract
The Field-Transformation Hybrid Monte-Carlo (FTHMC) algorithm potentially mitigates the issue
of critical slowing down by combining the HMC with a field transformation, originally proposed by
Lüscher and motivated as trivializing the theory. For the transformation, we use a single invertible
discrete smearing step inspired by the Wilson flow but which resembles a Jacobian-computable
generalisation of the stout smearing step. This is applied to a system with Iwasaki gauge fields and
2+1 Domain-Wall fermions. We have studied the 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 a larger value of the smearing parameter is
used. The autocorrelation times of local observables are computed using an approach akin to the
master-field technique, allowing us to estimate the effect of the field transformation with different
parameters based on a small number of configurations.
DOI: https://doi.org/10.22323/1.466.0034
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