Phase fluctuation of fermion determinant in lattice QCD at finite density - INSPIRE

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Phase fluctuation of fermion determinant in lattice QCD at finite density

Oct, 2003

3 pages

Published in:

Nucl.Phys.B Proc.Suppl. 129 (2004) 539-541

e-Print:

hep-lat/0310046 [hep-lat]

DOI:

10.1016/S0920-5632(03)02634-3

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Abstract:

Once the quark chemical potential

\mu

is introduced in finite density QCD, the fermion determinant appeared in the path integral measure becomes complex. In order to investigate the phase effect of SU(3) lattice QCD (2-flavors), we calculated the fluctuation of the phase of

\det\Delta(\mu)

on a

8^3\times4

lattice at

\mu = 0.1

and 0.2. Then we calculated the chiral condensate and Polyakov line in the no phase and reweighted cases. There is little difference between these two cases at

\mu = 0.1

and 0.2. We consider a possible reason for this result below

\mu \le 0.27

in terms of

Z_3

symmetry.

talk: Tsukuba 2003/07/15
fermion: lattice field theory
fermion: determinant
gauge field theory: SU(3)
potential: chemical
condensation: chiral
symmetry: Z(3)
Polyakov loop
numerical calculations: Monte Carlo

References(5)

Figures(0)

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

Lattice determination of the critical point of QCD at finite T and mu

Z. Fodor
(
- DESY and
- Eotvos U.
)
,
S.D. Katz
(
- Eotvos U.
)

- JHEP 03 (2002) 014
•
e-Print:
- hep-lat/0106002
•
DOI:
- 10.1088/1126-6708/2002/03/014

QCD simulations at small chemical potential

P. de Forcrand
(
- Zurich, ETH and
- CERN
)
,
S. Kim
(
- Sejong U.
)
,
T. Takaishi
(
- Hiroshima U. of Economics
)

- Nucl.Phys.B Proc.Suppl. 119 (2003) 541-543,
•
e-Print:
- hep-lat/0209126
•
DOI:
- 10.1016/S0920-5632(03)80451-6

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

1 / M correction to quenched QCD with nonzero baryon density

Gert Aarts
(
- Heidelberg U.
)
,
Olaf Kaczmarek
(
- Bielefeld U.
)
,
Frithjof Karsch
(
- Bielefeld U.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

- Nucl.Phys.B Proc.Suppl. 106 (2002) 456-458
•
e-Print:
- hep-lat/0110145
•
DOI:
- 10.1016/S0920-5632(01)01745-5