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); George Washington Univ., 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.
Alexandru, Andrei, Bedaque, Paulo F., Lamm, Henry, & Lawrence, Scott. Finite-density Monte Carlo calculations on sign-optimized manifolds. United States. doi:https://doi.org/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:https://doi.org/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}
}
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1103/PhysRevD.97.094510
DOI: https://doi.org/10.1103/PhysRevD.97.094510
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Cited by: 10 works
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Works referenced in this record:
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