Dynamical stabilisation of complex Langevin simulations of QCD

Felipe Attanasio*, Benjamin Jäger

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of view, direct lattice simulations are hindered by the numerical sign problem, which prevents the use of traditional methods based on importance sampling. Despite recent successes, simulations using the complex Langevin method have been shown to exhibit instabilities, which cause convergence to wrong results. We introduce and discuss the method of dynamic stabilisation (DS), a modification of the complex Langevin process aimed at solving these instabilities. We present results of DS being applied to the heavy-dense approximation of QCD, as well as QCD with staggered fermions at zero chemical potential and finite chemical potential at high temperature. Our findings show that DS can successfully deal with the aforementioned instabilities, opening the way for further progress.

Original languageEnglish
Article number16
JournalEuropean Physical Journal C
Volume79
Issue number1
Number of pages11
ISSN1434-6044
DOIs
Publication statusPublished - 1. Jan 2019

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Chemical potential
Stabilization
stabilization
quantum chromodynamics
baryons
Importance sampling
Fermions
simulation
Equations of state
equations of state
fermions
sampling
Temperature
causes
approximation
temperature

Cite this

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title = "Dynamical stabilisation of complex Langevin simulations of QCD",
abstract = "The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of view, direct lattice simulations are hindered by the numerical sign problem, which prevents the use of traditional methods based on importance sampling. Despite recent successes, simulations using the complex Langevin method have been shown to exhibit instabilities, which cause convergence to wrong results. We introduce and discuss the method of dynamic stabilisation (DS), a modification of the complex Langevin process aimed at solving these instabilities. We present results of DS being applied to the heavy-dense approximation of QCD, as well as QCD with staggered fermions at zero chemical potential and finite chemical potential at high temperature. Our findings show that DS can successfully deal with the aforementioned instabilities, opening the way for further progress.",
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Dynamical stabilisation of complex Langevin simulations of QCD. / Attanasio, Felipe; Jäger, Benjamin.

In: European Physical Journal C, Vol. 79, No. 1, 16, 01.01.2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Dynamical stabilisation of complex Langevin simulations of QCD

AU - Attanasio, Felipe

AU - Jäger, Benjamin

N1 - First Online: 07 January 2019

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of view, direct lattice simulations are hindered by the numerical sign problem, which prevents the use of traditional methods based on importance sampling. Despite recent successes, simulations using the complex Langevin method have been shown to exhibit instabilities, which cause convergence to wrong results. We introduce and discuss the method of dynamic stabilisation (DS), a modification of the complex Langevin process aimed at solving these instabilities. We present results of DS being applied to the heavy-dense approximation of QCD, as well as QCD with staggered fermions at zero chemical potential and finite chemical potential at high temperature. Our findings show that DS can successfully deal with the aforementioned instabilities, opening the way for further progress.

AB - The ability to describe strongly interacting matter at finite temperature and baryon density provides the means to determine, for instance, the equation of state of QCD at non-zero baryon chemical potential. From a theoretical point of view, direct lattice simulations are hindered by the numerical sign problem, which prevents the use of traditional methods based on importance sampling. Despite recent successes, simulations using the complex Langevin method have been shown to exhibit instabilities, which cause convergence to wrong results. We introduce and discuss the method of dynamic stabilisation (DS), a modification of the complex Langevin process aimed at solving these instabilities. We present results of DS being applied to the heavy-dense approximation of QCD, as well as QCD with staggered fermions at zero chemical potential and finite chemical potential at high temperature. Our findings show that DS can successfully deal with the aforementioned instabilities, opening the way for further progress.

U2 - 10.1140/epjc/s10052-018-6512-7

DO - 10.1140/epjc/s10052-018-6512-7

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JO - The European Physical Journal C: Particles and Fields

JF - The European Physical Journal C: Particles and Fields

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