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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:
 [1];  [2];  [2];  [2]
  1. George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States); University of Bern (Switzerland)
  2. Univ. of Maryland, College Park, MD (United States)
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:  
FG02-93ER40762; FG02-95ER40907
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
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.
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.
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.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.97.094510

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.

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.