skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0010495; SC0010025; FG02-04ER41302; FC02-06ER41444; AC05-06OR23177
OSTI ID:
1233506
Alternate ID(s):
OSTI ID: 1234098
Report Number(s):
JLAB-THY-15-2158; DOE/OR/23177-3600; arXiv:1510.04675; MIT-CTP/4726; PRVDAQ; TRN: US1600947
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 11; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

References (60)

Nonuniversal critical dynamics in Monte Carlo simulations journal January 1987
Collective Monte Carlo Updating for Spin Systems journal January 1989
Worm Algorithms for Classical Statistical Models journal September 2001
Kaon B -parameter from quenched domain-wall QCD journal May 2006
Critical slowing down and error analysis in lattice QCD simulations journal April 2011
Lattice QCD without topology barriers journal July 2011
Diffusion of topological charge in lattice QCD simulations journal October 2014
Multigrid Monte Carlo Method for Lattice Field Theories journal March 1986
Multi-grid Monte Carlo (II). Two-dimensional XY model journal May 1991
Multi-grid Monte Carlo (III). Two-dimensional O(4)-symmetric non-linear σ-model journal August 1992
Multigrid monte carlo in the sine gordon model journal April 1994
Multicanonical multigrid Monte Carlo method and effective autocorrelation time journal April 1994
Multigrid Monte Carlo algorithms for SU(2) lattice gauge theory: Two versus four dimensions journal December 1994
Confinement of quarks journal October 1974
Topology of lattice gauge fields journal August 1982
Lattice gauge fields, principal bundles and the calculation of topological charge journal December 1986
Lattice regularization of gauge theories without loss of chiral symmetry journal April 1995
Again on SU(3) glueball mass journal January 1985
Glueball masses and string tension in lattice QCD journal June 1987
Accurate scale determinations for the Wilson gauge action journal April 1998
Precision computation of a low-energy reference scale in quenched lattice QCD journal December 1998
A new method for updating SU(N) matrices in computer simulations of gauge theories journal December 1982
Overrelaxed heat-bath and Metropolis algorithms for accelerating pure gauge Monte Carlo calculations journal June 1987
Confinement and the Critical Dimensionality of Space-Time journal August 1979
Confinement and the Critical Dimensionality of Space-Time. journal September 1979
Infinite N phase transitions in continuum Wilson loop operators journal March 2006
Properties and uses of the Wilson flow in lattice QCD journal August 2010
The gradient flow coupling in the Schrödinger functional journal October 2013
Topology of the SU (2) vacuum: a lattice study using improved cooling journal August 1997
Schwarz-preconditioned HMC algorithm for two-flavor lattice QCD journal February 2005
The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk journal January 1988
Monte Carlo errors with less errors journal January 2004
Erratum to “Monte Carlo errors with less errors” [Comput. Phys. Comm. 156 (2004) 143–153] journal March 2007
Separable nonlinear least squares: the variable projection method and its applications journal February 2003
Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator journal November 2010
Adaptive Aggregation-Based Domain Decomposition Multigrid for the Lattice Wilson--Dirac Operator journal January 2014
Multigrid preconditioning for the overlap operator in lattice QCD journal May 2015
Canonical demon Monte Carlo renormalization group journal October 1994
Non-perturbative O(a) improvement of lattice QCD journal April 1997
Non-perturbative computation of the strong coupling constant on the lattice journal April 2015
Perfect lattice action for asymptotically free theories journal February 1994
The Chroma Software System for Lattice QCD journal March 2005
Non-renormalizability of the HMC algorithm journal April 2011
Canonical demon Monte Carlo renormalization group journal April 1995
Confinement of quarks journal June 2003
Worm Algorithms for Classical Statistical Models text January 2001
Adaptive multigrid algorithm for the lattice Wilson-Dirac operator text January 2010
Properties and uses of the Wilson flow in lattice QCD text January 2010
Critical slowing down and error analysis in lattice QCD simulations text January 2010
Lattice QCD without topology barriers text January 2011
Diffusion of topological charge in lattice QCD simulations text January 2014
Non-perturbative computation of the strong coupling constant on the lattice preprint January 2015
The Chroma Software System for Lattice QCD text January 2004
Perfect lattice action for asymptotically free theories text January 1993
Multigrid Monte Carlo in the Sine Gordon model text January 1993
Multicanonical multigrid Monte Carlo method and effective autocorellation time text January 1993
Non-perturbative O(a) improvement of lattice QCD text January 1996
Topology of the SU(2) vacuum: a lattice study using improved cooling text January 1997
Accurate Scale Determinations for the Wilson Gauge Action text January 1997
Precision computation of a low-energy reference scale in quenched lattice QCD text January 1998

Cited By (10)

Flow-based generative models for Markov chain Monte Carlo in lattice field theory journal August 2019
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 text January 2019
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal February 2020
Review of lattice results concerning low-energy particle physics text January 2017
Review of lattice results concerning low-energy particle physics text January 2016
FLAG Review 2019 text January 2020
FLAG Review 2019 text January 2020
Flow-based generative models for Markov chain Monte Carlo in lattice field theory text January 2019

Similar Records

Multiscale Monte Carlo equilibration: Two-color QCD with two fermion flavors
Journal Article · Fri Dec 02 00:00:00 EST 2016 · Physical Review D · OSTI ID:1233506

Scaling properties of multiscale equilibration
Journal Article · Tue Apr 17 00:00:00 EDT 2018 · Physical Review. D. · OSTI ID:1233506

Multigrid Monte Carlo method. Conceptual foundations
Journal Article · Fri Sep 15 00:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA) · OSTI ID:1233506