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New algorithms for finite density QCD

Dénes Sexty
(
- Heidelberg U.
)

Oct 31, 2014

15 pages

Part of Proceedings, 32nd International Symposium on Lattice Field Theory (Lattice 2014) : Brookhaven, NY, USA, June 23-28, 2014, 016

Published in:

PoS LATTICE2014 (2014) 016

Contribution to:

- Lattice 2014
, 016

Published: Nov 4, 2014 by SISSA

e-Print:

1410.8813 [hep-lat]

DOI:

10.22323/1.214.0016

View in:

ADS Abstract Service

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Abstract: (arXiv)

Recent progress of the complex Langevin method and the Lefschetz thimble in connection with the sign problem is reviewed. These methods rely on the complexification of the original field manifold and they allow direct simulations of theories with non-real measures. Similarities and differences of the two approaches are pointed out. Results using the complex Langevin method, which allows simulations to evade the sign problem in full QCD, are presented. Promising results of the thimble approach for non-gauge theories are also discussed.

Note:

15 pages, 7 figures, plenary talk at the 32nd International Symposium on Lattice Field Theory (23-28 June 2014, Columbia University, New York, NY, USA), typos corrected

quantum chromodynamics: density
density: finite
review
potential: chemical
quantum chromodynamics: lattice
numerical calculations
Langevin equation: complex
gauge field theory: SU(N)
toy model
quark: Wilson

References(47)

Figures(13)

[1]

Simulating QCD at finite density

Philippe de Forcrand
(
- Zurich, ETH and
- CERN
)

- PoS LAT2009 (2009) 010
•
e-Print:
- 1005.0539
•
DOI:
- 10.22323/1.091.0010

[2]

Complex Langevin dynamics and other approaches at finite chemical potential

Gert Aarts
(
- Swansea U.
)

- PoS LATTICE2012 (2012) 017
•
e-Print:
- 1302.3028

[3]

ON COMPLEX PROBABILITIES

G. Parisi
(
- Rome U.
)

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

[4]

Perturbation Theory Without Gauge Fixing

G. Parisi
(
- Beijing, Inst. Theor. Phys. and
- Frascati
)
,
Yong-shi Wu
(
- Beijing, Inst. Theor. Phys.
)

- Sci.Sin. 24 (1981) 483,
- Sci. Sin. 24 ( 1981) 483-496

[5]

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

[6]

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

[7]

Simulating nonequilibrium quantum fields with stochastic quantization techniques

J. Berges
(
- Heidelberg U.
)
,
I.-O. Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

- Phys.Rev.Lett. 95 (2005) 202003
•
e-Print:
- hep-lat/0508030
•
DOI:
- 10.1103/PhysRevLett.95.202003

[7]

Lattice simulations of real-time quantum fields

- Phys.Rev.D 75 (2007) 045007
•
e-Print:
- hep-lat/0609058
•
DOI:
- 10.1103/PhysRevD.75.045007

[7]

Real-time gauge theory simulations from stochastic quantization with optimized updating

- Nucl.Phys.B 799 (2008) 306-329
•
e-Print:
- 0708.0779
•
DOI:
- 10.1016/j.nuclphysb.2008.01.018

[8]

Adaptive gauge cooling for complex Langevin dynamics

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

- PoS LATTICE2013 (2014) 449
•
e-Print:
- 1311.1056
•
DOI:
- 10.22323/1.187.0449

[8]

this proceedings

L. Bongiovanni

[9]

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

AuroraScience

Collaboration

•

Marco Cristoforetti
(
- ECT, Trento
)

et al.

- Phys.Rev.D 86 (2012) 074506
•
e-Print:
- 1205.3996
•
DOI:
- 10.1103/PhysRevD.86.074506

[10]

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

[11]

Complex Langevin Dynamics for chiral Random Matrix Theory

A. Mollgaard
(
- Bohr Inst.
)
,
K. Splittorff
(
- Bohr Inst.
)

- Phys.Rev.D 88 (2013) 11, 116007
•
e-Print:
- 1309.4335
•
DOI:
- 10.1103/PhysRevD.88.116007

[12]

Comparison of complex Langevin and mean field methods applied to effective Polyakov line models

Jeff Greensite
(
- San Francisco State U.
)

- Phys.Rev.D 90 (2014) 11, 114507
•
e-Print:
- 1406.4558
•
DOI:
- 10.1103/PhysRevD.90.114507

[12]

this proceedings

J. Greensite

[13]

Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited

Gert Aarts
(
- Swansea U.
)
,
Frank A. James
(
- Swansea U.
)

- JHEP 01 (2012) 118
•
e-Print:
- 1112.4655
•
DOI:
- 10.1007/JHEP01(2012)118

[14]

Stability of complex Langevin dynamics in effective models

Gert Aarts
(
- Swansea U.
)
,
Frank A. James
(
- Regensburg U.
)
,
Jan M. Pawlowski
(
- Heidelberg U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Heidelberg U.
)

et al.

- JHEP 03 (2013) 073
•
e-Print:
- 1212.5231
•
DOI:
- 10.1007/JHEP03(2013)073

[15]

in preparation

Z. Fodor
,
S.D. Katz
,
D. Sexty

[16]

Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion

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

- Phys.Rev.D 90 (2014) 11, 114505
•
e-Print:
- 1408.3770
•
DOI:
- 10.1103/PhysRevD.90.114505

[16]

this proceedings

I.O. Stamatescu

[17]

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

[18]

Complex Langevin simulation for QCD-like models

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

- PoS LATTICE2013 (2014) 451
•
e-Print:
- 1310.7412
•
DOI:
- 10.22323/1.187.0451

[19]

Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane

Gert Aarts
(
- Swansea U.
)

- Phys.Rev.D 88 (2013) 9, 094501
•
e-Print:
- 1308.4811
•
DOI:
- 10.1103/PhysRevD.88.094501

[20]

Some remarks on Lefschetz thimbles and complex Langevin dynamics

Gert Aarts
(
- Swansea U. (main)
)
,
Lorenzo Bongiovanni
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- U. Heidelberg, ITP
)

- JHEP 10 (2014) 159
•
e-Print:
- 1407.2090
•
DOI:
- 10.1007/JHEP10(2014)159

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