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Multiscale Monte Carlo equilibration: Pure Yang-Mills theory

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
 [1];  [2];  [3];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Boston Univ., Boston, MA (United States)
  3. College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
In this study, we present a multiscale thermalization algorithm for lattice gauge theory, which enables efficient parallel generation of uncorrelated gauge field configurations. The algorithm combines standard Monte Carlo techniques with ideas drawn from real space renormalization group and multigrid methods. We demonstrate the viability of the algorithm for pure Yang-Mills gauge theory for both heat bath and hybrid Monte Carlo evolution, and show that it ameliorates the problem of topological freezing up to controllable lattice spacing artifacts.
Research Organization:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
AC05-06OR23177; FC02-06ER41444; FG02-04ER41302; SC0010025; SC0010495
OSTI ID:
1233506
Alternate ID(s):
OSTI ID: 1234098
Report Number(s):
DOE/OR/23177--3600; JLAB--THY-15-2158; MIT--CTP/4726; arXiv:1510.04675
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 11 Vol. 92; ISSN PRVDAQ; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (14)

Flow-based generative models for Markov chain Monte Carlo in lattice field theory journal August 2019
θ dependence of 4D S U ( N ) gauge theories in the large- N limit journal October 2016
Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow journal December 2016
Scaling properties of multiscale equilibration journal April 2018
Machine learning action parameters in lattice quantum chromodynamics journal May 2018
Status and future perspectives for lattice gauge theory calculations to the exascale and beyond journal November 2019
Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) journal February 2017
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal February 2020
Review of lattice results concerning low-energy particle physics text January 2016
Review of lattice results concerning low-energy particle physics text January 2017
FLAG Review 2019 text January 2019
FLAG Review 2019 text January 2020
Flow-based generative models for Markov chain Monte Carlo in lattice field theory text January 2019
FLAG Review 2019 text January 2020

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