Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme - INSPIRE

DataBETA

Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme

S. Borsányi
(
- Wuppertal U.
)
,
Z. Fodor
(
- Wuppertal U. and
- Penn State U. and
- Eotvos U. and
- IAS, Julich
)
,
J.N. Guenther
(
- Marseille, CPT
)
,
R. Kara
(
- Wuppertal U.
)
,
S.D. Katz
(
- Eotvos U.
)

Feb 12, 2021

7 pages

Published in:

Phys.Rev.Lett. 126 (2021) 23, 232001

Published: Jun 12, 2021

e-Print:

2102.06660 [hep-lat]

DOI:

10.1103/PhysRevLett.126.232001

View in:

reference search137 citations

Citations per year

Abstract: (APS)

In this Letter, we introduce a novel scheme for extrapolating the equation of state of QCD to finite chemical potential that features considerably improved convergence properties and allows us to extend its reach to unprecedentedly high baryonic chemical potentials. We present continuum extrapolated lattice results for the new expansion coefficients and show the thermodynamic observables up to μB/T≤3.5. This novel expansion does not suffer from the shortcomings that characterize the traditional Taylor expansion method, such as difficulties inherent in performing such an expansion with a limited number of coefficients and the poor signal-to-noise ratio that affects Taylor coefficients determined from lattice calculations.

Note:

13 pages, 10 figures

Elementary Particles and Fields
potential: chemical
quantum chromodynamics: equation of state
lattice
lattice field theory
Taylor expansion
thermodynamical
higher-order

References(60)

Figures(26)

[1]

The Order of the quantum chromodynamics transition predicted by the standard model of particle physics

Y. Aoki
(
- Wuppertal U.
)
,
G. Endrodi
(
- Eotvos U.
)
,
Z. Fodor
(
- Wuppertal U. and
- Eotvos U.
)
,
S.D. Katz
(
- Wuppertal U. and
- Eotvos U.
)
,
K.K. Szabo
(
- Wuppertal U.
)

- Nature 443 (2006) 675-678
•
e-Print:
- hep-lat/0611014
•
DOI:
- 10.1038/nature05120

[2]

Overview of the QCD phase diagram: Recent progress from the lattice

Jana N. Guenther
(
- Marseille, CPT
)

- Eur.Phys.J.A 57 (2021) 4, 136
•
e-Print:
- 2010.15503
•
DOI:
- 10.1140/epja/s10050-021-00354-6

[3]

Lattice QCD and heavy ion collisions: a review of recent progress

Claudia Ratti
(
- Houston U.
)

- Rept.Prog.Phys. 81 (2018) 8, 084301
•
e-Print:
- 1804.07810
•
DOI:
- 10.1088/1361-6633/aabb97

[4]

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

[5]

Monte Carlo algorithm for simulating fermions on Lefschetz thimbles

Andrei Alexandru
(
- George Washington U.
)
,
Gökçe Basar
(
- Maryland U.
)
,
Paulo Bedaque
(
- Maryland U.
)

- Phys.Rev.D 93 (2016) 1, 014504
•
e-Print:
- 1510.03258
•
DOI:
- 10.1103/PhysRevD.93.014504

[6]

Implementation of the HMC algorithm on the tempered Lefschetz thimble method

e-Print:
- 1912.13303

[7]

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

[8]

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

[9]

Controlling Complex Langevin simulations of lattice models by boundary term analysis

M. Scherzer
(
- U. Heidelberg, ITP
)
,
E. Seiler
(
- Munich, Max Planck Inst.
)
,
D. Sexty
(
- Wuppertal U. and
- ZAT, Julich
)
,
I.-O. Stamatescu
(
- U. Heidelberg, ITP
)

- Phys.Rev.D 101 (2020) 1, 014501
•
e-Print:
- 1910.09427
•
DOI:
- 10.1103/PhysRevD.101.014501

[10]

Calculating the equation of state of dense quark-gluon plasma using the complex Langevin equation

Dénes Sexty
(
- Wuppertal U.
)

- Phys.Rev.D 100 (2019) 7, 074503
•
e-Print:
- 1907.08712
•
DOI:
- 10.1103/PhysRevD.100.074503

[11]

New approach to lattice QCD at finite density; results for the critical end point on coarse lattices

- JHEP 05 (2020) 088
•
e-Print:
- 2004.10800
•
DOI:
- 10.1007/JHEP05(2020)088

[12]

The QCD thermal phase transition in the presence of a small chemical potential

C.R. Allton
(
- Swansea U. and
- Queensland U.
)
,
S. Ejiri
(
- Swansea U.
)
,
S.J. Hands
(
- Swansea U. and
- Santa Barbara, KITP
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Santa Barbara, KITP and
- Bielefeld U.
)

et al.

- Phys.Rev.D 66 (2002) 074507
•
e-Print:
- hep-lat/0204010
•
DOI:
- 10.1103/PhysRevD.66.074507

[13]

Thermodynamics of two flavor QCD to sixth order in quark chemical potential

et al.

- Phys.Rev.D 71 (2005) 054508
•
e-Print:
- hep-lat/0501030
•
DOI:
- 10.1103/PhysRevD.71.054508

[14]

QCD equation of state at nonzero chemical potential: continuum results with physical quark masses at order $mu^2$

Sz. Borsanyi
(
- Wuppertal U.
)
,
G. Endrodi
(
- Regensburg U.
)
,
Z. Fodor
(
- Wuppertal U. and
- Eotvos U. and
- Julich, Forschungszentrum
)
,
S.D. Katz
(
- Eotvos U.
)
,
S. Krieg
(
- Wuppertal U. and
- IAS, Julich
)

et al.

- JHEP 08 (2012) 053
•
e-Print:
- 1204.6710
•
DOI:
- 10.1007/JHEP08(2012)053

[15]

The QCD Equation of State to $\mathcal{O}(\mu_B^6)$ from Lattice QCD

A. Bazavov
(
- Michigan State U.
)
,
H. -T. Ding
(
)
,
P. Hegde
(
- Bangalore, Indian Inst. Sci.
)
,
O. Kaczmarek
(
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)

et al.

- Phys.Rev.D 95 (2017) 5, 054504
•
e-Print:
- 1701.04325
•
DOI:
- 10.1103/PhysRevD.95.054504

[16]

Phase boundary for the chiral transition in (2+1) -flavor QCD at small values of the chemical potential

O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
E. Laermann
(
- Bielefeld U.
)
,
C. Miao
(
- Brookhaven
)
,
S. Mukherjee
(
- Brookhaven
)

et al.

- Phys.Rev.D 83 (2011) 014504
•
e-Print:
- 1011.3130
•
DOI:
- 10.1103/PhysRevD.83.014504

[17]

The QCD phase diagram at nonzero quark density

G. Endrodi
(
- Eotvos U.
)
,
Z. Fodor
(
- Eotvos U. and
- Wuppertal U.
)
,
S.D. Katz
(
- Eotvos U. and
- Wuppertal U.
)
,
K.K. Szabo
(
- Wuppertal U.
)

- JHEP 04 (2011) 001
•
e-Print:
- 1102.1356
•
DOI:
- 10.1007/JHEP04(2011)001

[18]

Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation

Claudio Bonati
(
- Pisa U. and
- INFN, Pisa
)
,
Massimo D'Elia
(
- Pisa U. and
- INFN, Pisa
)
,
Francesco Negro
(
- INFN, Pisa
)
,
Francesco Sanfilippo
(
- INFN, Rome3
)
,
Kevin Zambello
(
- Parma U. and
- INFN, Parma
)

- Phys.Rev.D 98 (2018) 5, 054510
•
e-Print:
- 1805.02960
•
DOI:
- 10.1103/PhysRevD.98.054510

[19]

Chiral crossover in QCD at zero and non-zero chemical potentials

HotQCD

Collaboration

•

A. Bazavov
(
- Michigan State U., East Lansing (main)
)

et al.

- Phys.Lett.B 795 (2019) 15-21
•
e-Print:
- 1812.08235
•
DOI:
- 10.1016/j.physletb.2019.05.013

[20]

Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD

Massimo D'Elia
(
- INFN, Pisa and
- Pisa U.
)
,
Giuseppe Gagliardi
(
- INFN, Pisa and
- Pisa U.
)
,
Francesco Sanfilippo
(
- U. Southampton (main) and
- Southampton U.
)

- Phys.Rev.D 95 (2017) 9, 094503
•
e-Print:
- 1611.08285
•
DOI:
- 10.1103/PhysRevD.95.094503

[21]

Higher order fluctuations and correlations of conserved charges from lattice QCD

Szabolcs Borsanyi
(
- Wuppertal U.
)
,
Zoltan Fodor
(
- Wuppertal U. and
- Eotvos U. and
- IAS, Julich
)
,
Jana N. Guenther
(
- Wuppertal U. and
- Regensburg U.
)
,
Sandor K. Katz
(
- Regensburg U.
)
,
Kalman K. Szabo
(
- Wuppertal U. and
- IAS, Julich
)

et al.

- JHEP 10 (2018) 205
•
e-Print:
- 1805.04445
•
DOI:
- 10.1007/JHEP10(2018)205

[22]

The QCD phase diagram for small densities from imaginary chemical potential

Philippe de Forcrand
(
- Zurich, ETH and
- CERN
)
,
Owe Philipsen
(
- MIT, LNS
)

- Nucl.Phys.B 642 (2002) 290-306
•
e-Print:
- hep-lat/0205016
•
DOI:
- 10.1016/S0550-3213(02)00626-0

[23]

Finite density QCD via imaginary chemical potential

Massimo D'Elia
(
- Genoa U. and
- INFN, Genoa
)
,
Maria-Paola Lombardo
(
- INFN, Padua and
- Frascati
)

- Phys.Rev.D 67 (2003) 014505
•
e-Print:
- hep-lat/0209146
•
DOI:
- 10.1103/PhysRevD.67.014505

[24]

The Strongly interacting quark gluon plasma, and the critical behaviour of QCD at imaginary mu

Massimo D'Elia
(
- Genoa U. and
- INFN, Genoa
)
,
Francesco Di Renzo
(
- Parma U. and
- INFN, Parma
)
,
Maria Paola Lombardo
(
- Frascati
)

- Phys.Rev.D 76 (2007) 114509
•
e-Print:
- 0705.3814
•
DOI:
- 10.1103/PhysRevD.76.114509

[25]

Analytic continuation of the critical line: Suggestions for QCD

Paolo Cea
(
- Bari U. and
- INFN, Bari
)
,
Leonardo Cosmai
(
- INFN, Bari
)
,
Massimo D'Elia
(
- Genoa U. and
- INFN, Genoa
)
,
Chiara Manneschi
(
- Genoa U. and
- INFN, Genoa
)
,
Alessandro Papa
(
- Calabria U. and
- INFN, Cosenza
)

- Phys.Rev.D 80 (2009) 034501
•
e-Print:
- 0905.1292
•
DOI:
- 10.1103/PhysRevD.80.034501

1-25 of 60
1
2
3
25 / page