Dynamical stabilisation of complex Langevin simulations of QCD

Felipe Attanasio*, Benjamin Jäger

*Kontaktforfatter for dette arbejde

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

60 Downloads (Pure)

Resumé

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.

OriginalsprogEngelsk
Artikelnummer16
TidsskriftEuropean Physical Journal C
Vol/bind79
Udgave nummer1
Antal sider11
ISSN1434-6044
DOI
StatusUdgivet - 1. jan. 2019

Fingeraftryk

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

Citer dette

@article{663ea13b37da4d99a53ac3a1e20c0a75,
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.",
author = "Felipe Attanasio and Benjamin J{\"a}ger",
note = "First Online: 07 January 2019",
year = "2019",
month = "1",
day = "1",
doi = "10.1140/epjc/s10052-018-6512-7",
language = "English",
volume = "79",
journal = "The European Physical Journal C: Particles and Fields",
issn = "1434-6044",
publisher = "Heinemann",
number = "1",

}

Dynamical stabilisation of complex Langevin simulations of QCD. / Attanasio, Felipe; Jäger, Benjamin.

I: European Physical Journal C, Bind 79, Nr. 1, 16, 01.01.2019.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer 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

M3 - Journal article

VL - 79

JO - The European Physical Journal C: Particles and Fields

JF - The European Physical Journal C: Particles and Fields

SN - 1434-6044

IS - 1

M1 - 16

ER -