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

Title: Finite-density Monte Carlo calculations on sign-optimized manifolds

Abstract

We present a general technique for addressing sign problems that arise in Monte Carlo simulations of field theories. This method deforms the domain of the path integral to a manifold in complex field space that maximizes the average sign (therefore reducing the sign problem) within a parametrized family of manifolds. We presents results for the 1 + 1 dimensional Thirring model with Wilson fermions on lattice sizes up to 40 × 10. This method reaches higher μ than previous techniques while substantially decreasing the computational time required.

Authors:
; ; ;
Publication Date:
Research Org.:
Univ. of Maryland, College Park, MD (United States); The George Washington University, Washington, DC (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1439896
Alternate Identifier(s):
OSTI ID: 1498927
Grant/Contract Number:  
[FG02-95ER40907; FG02-93ER40762]
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
[Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Alexandru, Andrei, Bedaque, Paulo F., Lamm, Henry, and Lawrence, Scott. Finite-density Monte Carlo calculations on sign-optimized manifolds. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.094510.
Copy to clipboard
Alexandru, Andrei, Bedaque, Paulo F., Lamm, Henry, & Lawrence, Scott. Finite-density Monte Carlo calculations on sign-optimized manifolds. United States. doi:10.1103/PhysRevD.97.094510.
Copy to clipboard
Alexandru, Andrei, Bedaque, Paulo F., Lamm, Henry, and Lawrence, Scott. Thu . "Finite-density Monte Carlo calculations on sign-optimized manifolds". United States. doi:10.1103/PhysRevD.97.094510.
Copy to clipboard
@article{osti_1439896,
title = {Finite-density Monte Carlo calculations on sign-optimized manifolds},
author = {Alexandru, Andrei and Bedaque, Paulo F. and Lamm, Henry and Lawrence, Scott},
abstractNote = {We present a general technique for addressing sign problems that arise in Monte Carlo simulations of field theories. This method deforms the domain of the path integral to a manifold in complex field space that maximizes the average sign (therefore reducing the sign problem) within a parametrized family of manifolds. We presents results for the 1 + 1 dimensional Thirring model with Wilson fermions on lattice sizes up to 40 × 10. This method reaches higher μ than previous techniques while substantially decreasing the computational time required.},
doi = {10.1103/PhysRevD.97.094510},
journal = {Physical Review D},
number = [9],
volume = [97],
place = {United States},
year = {2018},
month = {5}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.094510
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Manifold parameters as a function of chemical potential μ/mf, for both 20 × 10 and 40 × 10 lattices, with bare parameters m = −0.25 and g = 1.
All figures and tables (3 total)
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Tempered transitions between thimbles
journal, August 2017

Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
journal, January 2016

Lefschetz-thimble analysis of the sign problem in one-site fermion model
journal, March 2016

Fast estimator of Jacobians in the Monte Carlo integration on Lefschetz thimbles
journal, May 2016

Monte Carlo Study of Real Time Dynamics on the Lattice
journal, August 2016

QCD thermal phase transition in the presence of a small chemical potential
journal, October 2002

Sign problem and Monte Carlo calculations beyond Lefschetz thimbles
journal, May 2016

  • Alexandru, Andrei; Basar, Gökçe; Bedaque, Paulo F.
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)053

Functional Integrals for QCD at Nonzero Chemical Potential and Zero Density
journal, November 2003

Structure of Lefschetz thimbles in simple fermionic systems
journal, March 2015

Toward solving the sign problem with path optimization method
journal, December 2017

Fermion bag approach to fermion sign problems: New opportunities in lattice fermion field theories
journal, July 2013

Deep learning beyond Lefschetz thimbles
journal, November 2017

Multi-flavor massless QED2 at finite densities via Lefschetz thimbles
journal, February 2017

Monte Carlo calculations of the finite density Thirring model
journal, January 2017

A new method to study lattice QCD at finite temperature and chemical potential
journal, May 2002

Stochastic quantization at finite chemical potential
journal, September 2008

Erratum to: Monte Carlo study of Lefschetz thimble structure in one-dimensional Thirring model at finite density
journal, September 2016

  • Fujii, Hirotsugu; Kamata, Syo; Kikukawa, Yoshio
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)172

Thimble regularization at work: From toy models to chiral random matrix theories
journal, October 2015

Gauge and matter fields as surfaces and loops: An exploratory lattice study of the Z 3 gauge-Higgs model
journal, November 2012

Metropolis Monte Carlo integration on the Lefschetz thimble: Application to a one-plaquette model
journal, September 2013

Finite density QCD with a canonical approach
journal, March 2006

Schwinger-Keldysh formalism on the lattice: A faster algorithm and its application to field theory
journal, June 2017

An efficient method to compute the residual phase on a Lefschetz thimble
journal, June 2014

Hamilton dynamics for Lefschetz-thimble integration akin to the complex Langevin method
journal, September 2015

  • Fukushima, K.; Tanizaki, Y.
  • Progress of Theoretical and Experimental Physics, Vol. 2015, Issue 11
  • DOI: 10.1093/ptep/ptv152

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble
journal, October 2012

Lattice QCD at finite density via a new canonical approach
journal, December 2005

Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm
journal, August 2016

The chiral critical line of N f = 2+1 QCD at zero and non-zero baryon density
journal, January 2007

From the Density-of-states Method to Finite Density Quantum Field Theory
journal, January 2016

    [ × clear filter / sort ]

    Figures / Tables found in this record:

    Figure 1(p. 5)figure
    Figure 2(p. 5)figure
    Figure 3(p. 6)figure
      [ × clear filter / sort ]
      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

      Similar Records in DOE PAGES and OSTI.GOV collections: