PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Algorithms
Applying the Worldvolume Hybrid Monte Carlo method to lattice field theories
M. Fukuma*, N. Matsumoto and Y. Namekawa
Full text: pdf
Pre-published on: January 27, 2023
Published on: April 06, 2023
The numerical sign problem has been a major obstacle to first-principles calculations of many important systems, including QCD at finite density. The Worldvolume Hybrid Monte Carlo method is a HMC algorithm which solves both the sign problem and the ergodicity problem simultaneously. In this algorithm, configurations explore the extended configuration space (worldvolume) that includes a region where the sign problem disappears and also a region where the ergodicity problem is mild. The computational cost of the algorithm is expected to be much lower than other related algorithms based on Lefschetz thimbles, because one no longer needs to calculate the Jacobian of the gradient flow of Picard and Lefschetz when generating a configuration. In this talk, after reviewing the basics of the method, we apply the method to complex scalar field theory at finite density, and report on the numerical results together with the computational cost scaling with the lattice volume.
DOI: https://doi.org/10.22323/1.430.0011
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.