New results for QCD at non-vanishing chemical potentials from Taylor expansion - INSPIRE

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New results for QCD at non-vanishing chemical potentials from Taylor expansion

BNL-CCNU

Collaboration

•

Edwin Laermann
(
- U. Bielefeld (main)
)

for the collaboration.

Jan 29, 2017

7 pages

Part of Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016, 079

Published in:

PoS LATTICE2016 (2017) 079

Contribution to:

- Lattice 2016
, 079

Published: Jan 29, 2017 by SISSA

DOI:

10.22323/1.256.0079

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Abstract:

Recent results of the BNL-CCNU-Bielefeld collaboration on the Taylor expansion of the pressure up to sixth order in the baryon, strangeness and electric charge chemical potentials are presented, with the focus on the QCD equation of state. The calculations have been performed with the Highly Improved Staggered Quark action on lattices with aspect ratio 4 and temporal extents ranging from 6 to 16, i.e. at four different values of the lattice spacing. The strange quark mass has been tuned to its physical value, and two ratios of the light to the strange mass, m l / m s = 1 / 20 and 1 / 27 have been investigated. The comparison of sixth order Taylor expansion in the chemical potentials with fourth order ones shows that the truncation errors are small at least up to baryon chemical potential of μ B / T ' 2.

quantum chromodynamics: thermodynamics
critical phenomena
potential: chemical
quark: mass dependence
quantum chromodynamics: equation of state
charge: electric
lattice field theory
numerical calculations
quark: staggered
quark: flavor: 3

References(14)

Figures(0)

[1]

Full result for the QCD equation of state with 2+1 flavors

Szabocls Borsanyi
(
- Wuppertal U.
)
,
Zoltan Fodor
(
- Wuppertal U. and
- Julich, Forschungszentrum and
- Eotvos U.
)
,
Christian Hoelbling
(
- Wuppertal U.
)
,
Sandor D. Katz
(
- Eotvos U.
)
,
Stefan Krieg
(
- Wuppertal U. and
- Julich, Forschungszentrum
)

et al.

- Phys.Lett.B 730 (2014) 99-104
•
e-Print:
- 1309.5258
•
DOI:
- 10.1016/j.physletb.2014.01.007

[2]

Equation of state in ( 2+1 )-flavor QCD

HotQCD

Collaboration

•

A. Bazavov
(
- Iowa U.
)

et al.

- Phys.Rev.D 90 (2014) 094503
•
e-Print:
- 1407.6387
•
DOI:
- 10.1103/PhysRevD.90.094503

[3]

The chiral and deconfinement aspects of the QCD transition

et al.

- Phys.Rev.D 85 (2012) 054503
•
e-Print:
- 1111.1710
•
DOI:
- 10.1103/PhysRevD.85.054503

[4]

Hadron Mass Spectrum from Lattice QCD

Abhijit Majumder
(
- Ohio State U.
)
,
Berndt Muller
(
- Duke U.
)

- Phys.Rev.Lett. 105 (2010) 252002
•
e-Print:
- 1008.1747
•
DOI:
- 10.1103/PhysRevLett.105.252002

[5]

Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freezeout in Heavy Ion Collisions

A. Bazavov
(
- Iowa U.
)
,
H. -T. Ding
(
- Hua-Zhong Normal U. and
- Hua-Zhong Normal U., LQLP
)
,
P. Hegde
(
- Hua-Zhong Normal U. and
- Hua-Zhong Normal U., LQLP
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)

et al.

- Phys.Rev.Lett. 113 (2014) 7, 072001
•
e-Print:
- 1404.6511
•
DOI:
- 10.1103/PhysRevLett.113.072001

[6]

Quark number susceptibilities, strangeness and dynamical confinement

Rajiv V. Gavai
(
- Tata Inst.
)
,
Sourendu Gupta
(
- Brookhaven
)

- Phys.Rev.D 64 (2001) 074506
•
e-Print:
- hep-lat/0103013
•
DOI:
- 10.1103/PhysRevD.64.074506

[7]

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

[8]

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

[9]

Highly improved staggered quarks on the lattice, with applications to charm physics

HPQCD and
UKQCD

Collaborations

•

E. Follana
(
- Glasgow U.
)

et al.

- Phys.Rev.D 75 (2007) 054502
•
e-Print:
- hep-lat/0610092
•
DOI:
- 10.1103/PhysRevD.75.054502

[10]

Fluctuations and Correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model

HotQCD

Collaboration

•

A. Bazavov
(
- Brookhaven
)

et al.

- Phys.Rev.D 86 (2012) 034509
•
e-Print:
- 1203.0784
•
DOI:
- 10.1103/PhysRevD.86.034509

[11]

Chemical Potential on the Lattice

P. Hasenfratz
(
- CERN
)
,
F. Karsch
(
- CERN
)

- Phys.Lett.B 125 (1983) 308-310
•
DOI:
- 10.1016/0370-2693(83)91290-X

[12]

A faster method of computation of lattice quark number susceptibilities

R.V. Gavai
(
- Tata Inst.
)
,
Sayantan Sharma
(
- Bielefeld U.
)

- Phys.Rev.D 85 (2012) 054508
•
e-Print:
- 1112.5428
•
DOI:
- 10.1103/PhysRevD.85.054508

[13]

Divergences in the quark number susceptibility: The origin and a cure

Rajiv V. Gavai
(
- Tata Inst.
)
,
Sayantan Sharma
(
- Bielefeld U.
)

- Phys.Lett.B 749 (2015) 8-13
•
e-Print:
- 1406.0474
•
DOI:
- 10.1016/j.physletb.2015.07.036

[14]

The QCD equation of state at finite density from analytical continuation

J.N. Guenther
(
- Regensburg U. and
- Wuppertal U.
)
,
R. Bellwied
(
- Houston U.
)
,
S. Borsanyi
(
- Wuppertal U.
)
,
Z. Fodor
(
)
,
S.D. Katz
(
- Eotvos Lorand U., Budapest, Inst. Theor. Phys. and
- MTA-DE, Debrecen
)

et al.

- Nucl.Phys.A 967 (2017) 720-723
•
e-Print:
- 1607.02493
•
DOI:
- 10.1016/j.nuclphysa.2017.05.044