Improved convergence of Complex Langevin simulations

Felipe Attanasio; Benjamin Jäger

doi:10.1051/epjconf/201817507039

Improved convergence of Complex Langevin simulations

Felipe Attanasio, Benjamin Jäger

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Abstract

The sign problem appears in lattice QCD as soon as a non-zero chemical potential is introduced. This prevents direct simulations to determine the phase structure of the strongly interacting matter. Complex Langevin methods have been successfully used for various models or approximations of QCD. However, in some scenarios it converges to incorrect results. We present developments of our new method that helps to improve the convergence by keeping the system closer to the SU(3) manifold and discuss preliminary tests and results.

Original language	English
Article number	07039
Journal	E P J Web of Conferences
Volume	175
Number of pages	7
ISSN	2100-014X
DOIs	https://doi.org/10.1051/epjconf/201817507039
Publication status	Published - 26. Mar 2018
Event	35th International Symposium on Lattice Field Theory - Granada, Spain Duration: 18. Jun 2017 → 24. Jun 2017 Conference number: 35

Conference

Conference	35th International Symposium on Lattice Field Theory
Number	35
Country/Territory	Spain
City	Granada
Period	18/06/2017 → 24/06/2017

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10.1051/epjconf/201817507039Licence: CC BY

1710.06165v1Submitted manuscript, 473 KB
Improved convergence of Complex Langevin simulationsFinal published version, 214 KBLicence: CC BY

Cite this

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abstract = "The sign problem appears in lattice QCD as soon as a non-zero chemical potential is introduced. This prevents direct simulations to determine the phase structure of the strongly interacting matter. Complex Langevin methods have been successfully used for various models or approximations of QCD. However, in some scenarios it converges to incorrect results. We present developments of our new method that helps to improve the convergence by keeping the system closer to the SU(3) manifold and discuss preliminary tests and results.",

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AB - The sign problem appears in lattice QCD as soon as a non-zero chemical potential is introduced. This prevents direct simulations to determine the phase structure of the strongly interacting matter. Complex Langevin methods have been successfully used for various models or approximations of QCD. However, in some scenarios it converges to incorrect results. We present developments of our new method that helps to improve the convergence by keeping the system closer to the SU(3) manifold and discuss preliminary tests and results.

KW - hep-lat

U2 - 10.1051/epjconf/201817507039

DO - 10.1051/epjconf/201817507039

M3 - Conference article

SN - 2100-014X

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T2 - 35th International Symposium on Lattice Field Theory

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Improved convergence of Complex Langevin simulations

Abstract

Conference

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