Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method - INSPIRE

DataBETA

Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method

Anyi Li
(
- Kentucky U. and
- Duke U.
)
,
Andrei Alexandru
(
- George Washington U.
)
,
Keh-Fei Liu
(
- Kentucky U.
)
,
Xiangfei Meng
(
- Natl. Supercomputing Ctr., Tianjin
)

May, 2010

28 pages

Published in:

Phys.Rev.D 82 (2010) 054502

e-Print:

1005.4158 [hep-lat]

DOI:

10.1103/PhysRevD.82.054502

Report number:

UK-10-04

View in:

ADS Abstract Service

reference search64 citations

Citations per year

Abstract: (arXiv)

In a progress toward searching for the QCD critical point, we study the finite density phase transition of

N_f = 4

and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method to accurately project out the particle number from the fermion determinant which greatly extends the applicable range of baryon number sectors to make the study feasible. Our lattice simulation was carried out with the clover fermions and improved gauge action. For a given temperature, we calculate the baryon chemical potential from the canonical approach to look for the mixed phase as a signal for the first order phase transition. In the case of

N_f=4

, we observe an 'S-shape' structure in the chemical potential-density plane due to the surface tension of the mixed phase in a finite volume which is a signal for the first order phase transition. We use the Maxwell construction to determine the phase boundaries for three temperatures below

T_c

. The intersecting point of the two extrapolated boundaries turns out to be at the expected first order transition point at

T_c

with

\mu = 0

. This serves as a check for our method of identifying the critical point. We also studied the

N_f =2

case, but do not see a signal of the mixed phase for temperature as low as 0.83

T_c

.

12.38.Gc
12.38.Aw
11.15.Ha
quantum chromodynamics: critical phenomena
density: finite
fermion: determinant
potential: chemical
flavor: 4
flavor: 2
finite temperature

References(55)

Figures(18)

Thermodynamics and in medium hadron properties from lattice QCD

F. Karsch
(
- Bielefeld U.
)
,
E. Laermann
(
- Bielefeld U.
)

•
e-Print:
- hep-lat/0305025

Lattice QCD at finite density: An Introductory review

Shin Muroya
(
- Tokuyama Women's Coll.
)
,
Atsushi Nakamura
(
- Hiroshima U., RIISE
)
,
Chiho Nonaka
(
- Duke U.
)
,
Tetsuya Takaishi
(
- Hiroshima U. of Economics
)

- Prog.Theor.Phys. 110 (2003) 615-668
•
e-Print:
- hep-lat/0306031
•
DOI:
- 10.1143/PTP.110.615

The Condensed matter physics of QCD

Krishna Rajagopal
(
- MIT, LNS
)
,
Frank Wilczek
(
- MIT, LNS
)

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

The Transition temperature in QCD

et al.

- Phys.Rev.D 74 (2006) 054507
•
e-Print:
- hep-lat/0608013
•
DOI:
- 10.1103/PhysRevD.74.054507

Toward a precise determination of T(c) with 2+1 flavors of quarks

HotQCD

Collaboration

•

Carleton E. Detar
(
- Utah U.
)

et al.

- PoS LATTICE2007 (2007) 179,
- PoSLAT2007:179,2007
•
e-Print:
- 0710.1655
•
DOI:
- 10.22323/1.042.0179

Recent lattice results on finite temperature and density QCD. Part II.

Frithjof Karsch
(
- Brookhaven
)

- PoS LATTICE2007 (2007) 015
•
e-Print:
- 0711.0661
•
DOI:
- 10.22323/1.042.0015

Equation of state and more from lattice regularized QCD

RBC and
HotQCD

Collaborations

•

Frithjof Karsch
(
- Brookhaven
)

for the collaborations.

- J.Phys.G 35 (2008) 104096
•
e-Print:
- 0804.4148
•
DOI:
- 10.1088/0954-3899/35/10/104096

The QCD transition temperature: Results with physical masses in the continuum limit

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

- Phys.Lett.B 643 (2006) 46-54
•
e-Print:
- hep-lat/0609068
•
DOI:
- 10.1016/j.physletb.2006.10.021

The QCD transition temperature: results with physical masses in the continuum limit II.

Y. Aoki
(
- RIKEN BNL and
- Brookhaven
)
,
Szabolcs Borsanyi
(
- Wuppertal U.
)
,
Stephan Durr
(
- Julich, Forschungszentrum and
- NIC, Zeuthen and
- DESY, Zeuthen
)
,
Zoltan Fodor
(
- NIC, Zeuthen and
- DESY, Zeuthen and
- Wuppertal U. and
- Julich, Forschungszentrum and
- Eotvos U.
)
,
Sandor D. Katz
(
- Wuppertal U. and
- Eotvos U.
)

et al.

- JHEP 06 (2009) 088
•
e-Print:
- 0903.4155
•
DOI:
- 10.1088/1126-6708/2009/06/088

Color flavor locking and chiral symmetry breaking in high density QCD

- Nucl.Phys.B 537 (1999) 443-458
•
e-Print:
- hep-ph/9804403
•
DOI:
- 10.1016/S0550-3213(98)00668-3

On the existence of a phase transition for QCD with three light quarks

et al.

- Phys.Rev.Lett. 65 (1990) 2491-2494
•
DOI:
- 10.1103/PhysRevLett.65.2491

Chiral Restoration at Finite Density and Temperature

M. Asakawa
(
- Tokyo U.
)
,
K. Yazaki
(
- Tokyo U.
)

- Nucl.Phys.A 504 (1989) 668-684
•
DOI:
- 10.1016/0375-9474(89)90002-X

Chiral Symmetry Breaking in {QCD} at Finite Temperature and Density

A. Barducci
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
R. Casalbuoni
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
S. De Curtis
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
Raoul Gatto
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
Giulio Pettini
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)

- Phys.Lett.B 231 (1989) 463-470
•
DOI:
- 10.1016/0370-2693(89)90695-3

Chiral Phase Transitions in {QCD} for Finite Temperature and Density

A. Barducci
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
R. Casalbuoni
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
S. De Curtis
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
Raoul Gatto
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)
,
Giulio Pettini
(
- Florence U. and
- INFN, Florence and
- Salento U. and
- INFN, Lecce and
- Geneva U. and
- Pisa U.
)

- Phys.Rev.D 41 (1990) 1610
•
DOI:
- 10.1103/PhysRevD.41.1610

Chiral phases of QCD at finite density and temperature

A. Barducci
(
- Florence U. and
- INFN, Florence
)
,
R. Casalbuoni
(
- Florence U. and
- INFN, Florence
)
,
Giulio Pettini
(
- Florence U. and
- INFN, Florence
)
,
Raoul Gatto
(
- Geneva U.
)

- Phys.Rev.D 49 (1994) 426-436
•
DOI:
- 10.1103/PhysRevD.49.426

Color superconductivity and chiral symmetry restoration at nonzero baryon density and temperature

Juergen Berges
(
- MIT, LNS and
- MIT
)
,
Krishna Rajagopal
(
- MIT, LNS and
- MIT
)

- Nucl.Phys.B 538 (1999) 215-232
•
e-Print:
- hep-ph/9804233
•
DOI:
- 10.1016/S0550-3213(98)00620-8

On the phase diagram of QCD

Adam Miklos Halasz
(
- SUNY, Stony Brook
)
,
A.D. Jackson
(
- Bohr Inst.
)
,
R.E. Shrock
(
- SUNY, Stony Brook
)
,
Misha A. Stephanov
(
- SUNY, Stony Brook
)
,
J.J.M. Verbaarschot
(
- SUNY, Stony Brook
)

- Phys.Rev.D 58 (1998) 096007
•
e-Print:
- hep-ph/9804290
•
DOI:
- 10.1103/PhysRevD.58.096007

Signatures of the tricritical point in QCD

Misha A. Stephanov
(
- SUNY, Stony Brook
)
,
K. Rajagopal
(
- MIT, LNS
)
,
Edward V. Shuryak
(
- SUNY, Stony Brook
)

- Phys.Rev.Lett. 81 (1998) 4816-4819
•
e-Print:
- hep-ph/9806219
•
DOI:
- 10.1103/PhysRevLett.81.4816

Event-by-event fluctuations in heavy ion collisions and the QCD critical point

Misha A. Stephanov
(
- SUNY, Stony Brook
)
,
K. Rajagopal
(
- MIT, LNS
)
,
Edward V. Shuryak
(
- SUNY, Stony Brook
)

- Phys.Rev.D 60 (1999) 114028
•
e-Print:
- hep-ph/9903292
•
DOI:
- 10.1103/PhysRevD.60.114028

The quenched limit of lattice QCD at non-zero baryon number

- Nucl.Phys.B 558 (1999) 307-326,
- Nucl.Phys.B 576 (2000) 657-657 (erratum)
•
e-Print:
- hep-lat/9903030
•
DOI:
- 10.1016/S0550-3213(99)00395-8

A noisy Monte Carlo algorithm with fermion determinant

K.F. Liu
(
- Kentucky U.
)

- Chin.J.Phys. 38 (2000) 605-614,
- ,

Finite density algorithm in lattice QCD: A Canonical ensemble approach

Keh-Fei Liu
(
- Kentucky U.
)

- Int.J.Mod.Phys.B 16 (2002) 2017-2032
•
e-Print:
- hep-lat/0202026
•
DOI:
- 10.1142/S0217979202011755

Finite density QCD: A New approach

Vicente Azcoiti
(
- Zaragoza U.
)
,
Giuseppe Di Carlo
(
- Gran Sasso
)
,
Angelo Galante
(
- Gran Sasso and
- L'Aquila U.
)
,
Victor Laliena
(
- Zaragoza U.
)

- JHEP 12 (2004) 010
•
e-Print:
- hep-lat/0409157
•
DOI:
- 10.1088/1126-6708/2004/12/010

Finite density QCD with a canonical approach

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

- Nucl.Phys.B Proc.Suppl. 153 (2006) 62-67,
•
e-Print:
- hep-lat/0602024
•
DOI:
- 10.1016/j.nuclphysbps.2006.01.007

1-25 of 55
1
2
3
25 / page