Exploring the phase diagram of finite density QCD at low temperature by the complex Langevin method - INSPIRE

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Exploring the phase diagram of finite density QCD at low temperature by the complex Langevin method

Yuta Ito
(
- KEK, Tsukuba
)
,
Hideo Matsufuru
(
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Tsukuba, Graduate U. Adv. Studies
)
,
Shinji Shimasaki
(
- Keio U.
)
,
Asato Tsuchiya
(
- Shizuoka U., Ohya
)

Nov 30, 2018

7 pages

Part of Proceedings, 36th International Symposium on Lattice Field Theory (Lattice 2018) : East Lansing, MI, United States, July 22-28, 2018, 146

Published in:

PoS LATTICE2018 (2018) 146

Contribution to:

- Lattice 2018
, 146

Published: Nov 30, 2018 by SISSA

e-Print:

1811.12688 [hep-lat]

DOI:

10.22323/1.334.0146

Report number:

KEK-TH/2087

View in:

ADS Abstract Service

reference search11 citations

Citations per year

Abstract: (arXiv)

Monte Carlo studies of QCD at finite density suffer from the sign problem, which becomes easily uncontrollable as the chemical potential

\mu

is increased even for a moderate lattice size. In this work we make an attempt to approach the high density low temperature region by the complex Langevin method (CLM) using four-flavor staggered fermions with reasonably small quark mass on a

8^3 \times 16

lattice. Unlike the previous work on a

4^3 \times 8

lattice, the criterion for correct convergence is satisfied within a wide range of

\mu

without using the deformation technique. In particular, the baryon number density exhibits a plateau behavior consistent with the formation of eight baryons, and it starts to grow gradually at some

\mu

.

Note:

7 pages, 8 figures, talk presented at the 36th Annual International Symposium on Lattice Field Theory, July 22-28, 2018, East Lansing, MI, USA

density: finite
temperature: low
quantum chromodynamics: density
density: low
baryon number: density
density: high
potential: chemical
Langevin equation
numerical calculations
quark: staggered

References(15)

Figures(4)

[1]

Coherent State Langevin Equations for Canonical Quantum Systems With Applications to the Quantized Hall Effect

John R. Klauder
(
- Bell Labs
)

- Phys.Rev.A 29 (1984) 2036-2047
•
DOI:
- 10.1103/PhysRevA.29.2036

[2]

ON COMPLEX PROBABILITIES

G. Parisi
(
- Rome U.
)

- Phys.Lett.B 131 (1983) 393-395
•
DOI:
- 10.1016/0370-2693(83)90525-7

[3]

The Complex Langevin method: When can it be trusted?

Gert Aarts
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U.
)

- Phys.Rev.D 81 (2010) 054508
•
e-Print:
- 0912.3360
•
DOI:
- 10.1103/PhysRevD.81.054508

[4]

New Insights into the Problem with a Singular Drift Term in the Complex Langevin Method

Jun Nishimura
(
- KEK, Tsukuba and
- Tsukuba, Graduate U. Adv. Studies
)
,
Shinji Shimasaki
(
- KEK, Tsukuba
)

- Phys.Rev.D 92 (2015) 1, 011501
•
e-Print:
- 1504.08359
•
DOI:
- 10.1103/PhysRevD.92.011501

[5]

Argument for justification of the complex Langevin method and the condition for correct convergence

Keitaro Nagata
(
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Shinji Shimasaki
(
- Keio U. and
- KEK, Tsukuba
)

- Phys.Rev.D 94 (2016) 11, 114515
•
e-Print:
- 1606.07627
•
DOI:
- 10.1103/PhysRevD.94.114515

[6]

Adaptive stepsize and instabilities in complex Langevin dynamics

Gert Aarts
(
- Swansea U.
)
,
Frank A. James
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

- Phys.Lett.B 687 (2010) 154-159
•
e-Print:
- 0912.0617
•
DOI:
- 10.1016/j.physletb.2010.03.012

[7]

Gauge cooling in complex Langevin for QCD with heavy quarks

Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Heidelberg U.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U.
)

- Phys.Lett.B 723 (2013) 213-216
•
e-Print:
- 1211.3709
•
DOI:
- 10.1016/j.physletb.2013.04.062

[8]

The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant

Yuta Ito
(
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)

- JHEP 12 (2016) 009
•
e-Print:
- 1609.04501
•
DOI:
- 10.1007/JHEP12(2016)009

[9]

Controlling complex Langevin dynamics at finite density

Gert Aarts
(
- Swansea U.
)
,
Lorenzo Bongiovanni
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Heidelberg U.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

- Eur.Phys.J.A 49 (2013) 89
•
e-Print:
- 1303.6425
•
DOI:
- 10.1140/epja/i2013-13089-4

[10]

The QCD phase diagram in the limit of heavy quarks using complex Langevin dynamics

Gert Aarts
(
- Swansea U.
)
,
Felipe Attanasio
(
- Swansea U.
)
,
Benjamin Jäger
(
- Swansea U.
)
,
Dénes Sexty
(
- Eotvos Lorand U., Budapest, Inst. Theor. Phys. and
- Bergische U., Wuppertal (main)
)

- JHEP 09 (2016) 087
•
e-Print:
- 1606.05561
•
DOI:
- 10.1007/JHEP09(2016)087

[11]

Simulating full QCD at nonzero density using the complex Langevin equation

Dénes Sexty
(
- U. Heidelberg, ITP
)

- Phys.Lett.B 729 (2014) 108-111
•
e-Print:
- 1307.7748
•
DOI:
- 10.1016/j.physletb.2014.01.019

[12]

Complex Langevin dynamics for dynamical QCD at nonzero chemical potential: A comparison with multiparameter reweighting

Z. Fodor
(
- Wuppertal U. and
- IAS, Julich and
- Eotvos U.
)
,
S.D. Katz
(
- Eotvos U. and
- Res. Group Stat. Biol., Budapest
)
,
D. Sexty
(
- Wuppertal U.
)
,
C. Török
(
- Eotvos U. and
- Res. Group Stat. Biol., Budapest
)

- Phys.Rev.D 92 (2015) 9, 094516
•
e-Print:
- 1508.05260
•
DOI:
- 10.1103/PhysRevD.92.094516

[13]

Complex Langevin calculations in finite density QCD at large μ/T with the deformation technique

Keitaro Nagata
(
- Kochi Medical School and
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Shinji Shimasaki
(
- KEK, Tsukuba and
- Keio U.
)

- Phys.Rev.D 98 (2018) 11, 114513
•
e-Print:
- 1805.03964
•
DOI:
- 10.1103/PhysRevD.98.114513

[14]

Complex Langevin Simulations of QCD at Finite Density – Progress Report

D.K. Sinclair
(
- Argonne
)
,
J.B. Kogut
(
- Dept. of Energy, Wash., D.C. and
- Maryland U.
)

- EPJ Web Conf. 175 (2018) 07031
•
e-Print:
- 1710.08465
•
DOI:
- 10.1051/epjconf/201817507031

[15]

Lattice QCD at finite isospin density at zero and finite temperature

J.B. Kogut
(
- Illinois U., Urbana
)
,
D.K. Sinclair
(
- Argonne
)

- Phys.Rev.D 66 (2002) 034505
•
e-Print:
- hep-lat/0202028
•
DOI:
- 10.1103/PhysRevD.66.034505