Continuum extrapolation of finite temperature meson correlation functions in quenched lattice QCD

of meson correlation functions at finite temperature. In detail we analyze finite volume and lattice cut-off effects in view of possible consequences for continuum physics. We perform calculations on quenched gauge configurations using the clover improved Wilson fermion action. We present and discuss simulations on isotropic

N_\sigma^3\times 16

lattices with

N_\sigma=32,48,64,128

and

128^3 \times N_\tau

lattices with

N_\tau=16,24,32,48

corresponding to lattice spacings in the range of 0.01 fm \lsim a \lsim\ 0.031 fm at

T\simeq1.45T_c

. Continuum limit extrapolations of vector meson and pseudo scalar correlators are performed and their large distance expansion in terms of thermal moments is introduced. We discuss consequences of this analysis for the calculation of the electrical conductivity of the QGP at this temperature.

Note:

13 pages, 13 figures, Contribution presented at The XXVIII International Symposium on Lattice Field Theory, Lattice2010, June 14-19, 2010, Villasimius, Italy. Corrected factor $\chi_q$ in unnumbered equation on page 12 as opposed to published version of this proceedings contribution

meson: correlation function
correlation function: scalar
fermion: Wilson
quantum chromodynamics: quenching
regularization: lattice
fermion: clover
vector meson: correlation function
pseudoscalar meson: correlation function
finite temperature
continuum limit

References(14)

Figures(0)

Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD

H.-T. Ding
(
- Bielefeld U. and
- Brookhaven
)
,
A. Francis
(
- Bielefeld U.
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
E. Laermann
(
- Bielefeld U.
)

et al.

- Phys.Rev.D 83 (2011) 034504
•
e-Print:
- 1012.4963
•
DOI:
- 10.1103/PhysRevD.83.034504

The Electrical conductivity and soft photon emissivity of the QCD plasma

Sourendu Gupta
(
- Tata Inst.
)

- Phys.Lett.B 597 (2004) 57-62
•
e-Print:
- hep-lat/0301006
•
DOI:
- 10.1016/j.physletb.2004.05.079

Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD

- Phys.Rev.Lett. 99 (2007) 022002
•
e-Print:
- hep-lat/0703008
•
DOI:
- 10.1103/PhysRevLett.99.022002

Thermal Green's Functions and Transport Coefficients on the Lattice

F. Karsch
(
- CERN
)
,
H.W. Wyld
(
- Illinois U., Urbana
)

- Phys.Rev.D 35 (1987) 2518
•
DOI:
- 10.1103/PhysRevD.35.2518

Continuum and lattice meson spectral functions at nonzero momentum and high temperature

Gert Aarts
(
- Swansea U.
)
,
Jose M. Martinez Resco
(
- Brandon U.
)

- Nucl.Phys.B 726 (2005) 93-108
•
e-Print:
- hep-lat/0507004
•
DOI:
- 10.1016/j.nuclphysb.2005.08.012

Spatial dependence of the finite temperature meson correlation function

Wojciech Florkowski
(
- Cracow, INP and
- Darmstadt, GSI
)
,
Bengt L. Friman
(
- Darmstadt, GSI and
- Darmstadt, Tech. Hochsch.
)

- Z.Phys.A 347 (1994) 271-276
•
DOI:
- 10.1007/BF01289794

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445