Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD

We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance

r

is obtained from the spectral function of the thermal Wilson loop. We confirm the existence of an imaginary part above the critical temperature

T_C

, which grows as a function of

r

and underscores the importance of collisions with the gluonic environment for the melting of heavy quarkonia in the quark-gluon-plasma.

Note:

4 pages, 3 figures, to be published in PRL

12.38.Gc
14.40.Pq
03.65.Ge
12.38.Mh
heavy quark: potential
potential: complex
quarkonium: heavy
quark gluon: plasma
finite temperature
spectral representation

References(27)

Figures(5)

[1]

The Thermodynamics of Quarks and Gluons

Helmut Satz
(
- Bielefeld U.
)

- Lect.Notes Phys. 785 (2010) 1-21
•
e-Print:
- 0803.1611
•
DOI:
- 10.1007/978-3-642-02286-9_1

[2]

$J/\psi$ suppression at forward rapidity in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV

PHENIX

Collaboration

•

A. Adare
(
- Colorado U.
)

et al.

- Phys.Rev.C 84 (2011) 054912
•
e-Print:
- 1103.6269
•
DOI:
- 10.1103/PhysRevC.84.054912

[3]

Measurement of the centrality dependence of J/ψ yields and observation of Z production in lead–lead collisions with the ATLAS detector at the LHC

ATLAS

Collaboration

•

G. Aad
(
- Freiburg U.
)

et al.

- Phys.Lett.B 697 (2011) 294-312
•
e-Print:
- 1012.5419
•
DOI:
- 10.1016/j.physletb.2011.02.006

[4]

$J/\psi$ Suppression by Quark-Gluon Plasma Formation

T. Matsui
(
- MIT, LNS
)
,
H. Satz
(
- Bielefeld U. and
- Brookhaven
)

- Phys.Lett.B 178 (1986) 416-422
•
DOI:
- 10.1016/0370-2693(86)91404-8

[5]

Real-time static potential in hot QCD

M. Laine
(
- Bielefeld U.
)
,
O. Philipsen
(
- Munster U., ITP
)
,
P. Romatschke
(
- Washington U., Seattle
)
,
M. Tassler
(
- Munster U., ITP
)

- JHEP 03 (2007) 054
•
e-Print:
- hep-ph/0611300
•
DOI:
- 10.1088/1126-6708/2007/03/054

[5]

A Resummed perturbative estimate for the quarkonium spectral function in hot QCD

M. Laine
(
- Bielefeld U.
)

- JHEP 05 (2007) 028
•
e-Print:
- 0704.1720
•
DOI:
- 10.1088/1126-6708/2007/05/028

[6]

Real and imaginary-time Q anti-Q correlators in a thermal medium

A. Beraudo
(
- ECT, Trento
)
,
J.-P. Blaizot
(
- ECT, Trento
)
,
C. Ratti
(
- ECT, Trento and
- SUNY, Stony Brook
)

- Nucl.Phys.A 806 (2008) 312-338
•
e-Print:
- 0712.4394
•
DOI:
- 10.1016/j.nuclphysa.2008.03.001

[7]

Static quark-antiquark pairs at finite temperature

Nora Brambilla
(
- Milan U. and
- INFN, Milan
)
,
Jacopo Ghiglieri
(
- Milan U. and
- INFN, Milan
)
,
Antonio Vairo
(
- Milan U. and
- INFN, Milan
)
,
Peter Petreczky
(
- RIKEN BNL and
- Brookhaven
)

- Phys.Rev.D 78 (2008) 014017
•
e-Print:
- 0804.0993
•
DOI:
- 10.1103/PhysRevD.78.014017

[8]

J / psi and eta(c) in the deconfined plasma from lattice QCD

M. Asakawa
(
- Kyoto U.
)
,
T. Hatsuda
(
- Tokyo U.
)

- Phys.Rev.Lett. 92 (2004) 012001
•
e-Print:
- hep-lat/0308034
•
DOI:
- 10.1103/PhysRevLett.92.012001

[8]

Charmonium at finite temperature in quenched lattice QCD

Takashi Umeda
(
- Tsukuba U., RCCP
)
,
Kouji Nomura
(
- Hiroshima U.
)
,
Hideo Matsufuru
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Eur.Phys.J.C 39S1 (2005) 9-26
•
e-Print:
- hep-lat/0211003
•
DOI:
- 10.1140/epjcd/s2004-01-002-1

[8]

Behavior of charmonium systems after deconfinement

Saumen Datta
(
- Bielefeld U.
)
,
Frithjof Karsch
(
- Bielefeld U.
)
,
Peter Petreczky
(
- Brookhaven
)
,
Ines Wetzorke
(
- NIC, Zeuthen and
- DESY, Zeuthen
)

- Phys.Rev.D 69 (2004) 094507
•
e-Print:
- hep-lat/0312037
•
DOI:
- 10.1103/PhysRevD.69.094507

[8]

Quarkonium correlators and spectral functions at zero and finite temperature

- Phys.Rev.D 75 (2007) 014506
•
e-Print:
- hep-lat/0611017
•
DOI:
- 10.1103/PhysRevD.75.014506

[8]

Charmonium at high temperature in two-flavor QCD

Gert Aarts
(
- Swansea U.
)
,
Chris Allton
(
- Swansea U.
)
,
Mehmet Bugrahan Oktay
(
- Trinity Coll., Dublin
)
,
Mike Peardon
(
- Trinity Coll., Dublin
)
,
Jon-Ivar Skullerud
(
- Trinity Coll., Dublin
)

- Phys.Rev.D 76 (2007) 094513
•
e-Print:
- 0705.2198
•
DOI:
- 10.1103/PhysRevD.76.094513

[8]

Charmonium correlation and spectral functions at finite temperature

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

et al.

- PoS LATTICE2010 (2010) 180
•
e-Print:
- 1011.0695
•
DOI:
- 10.22323/1.105.0180

[8]

Charmonium spectral functions with the variational method in zero and finite temperature lattice QCD

WHOT-QCD

Collaboration

•

H. Ohno
(
- Tsukuba U., GSPAS and
- Tsukuba U.
)

et al.

- Phys.Rev.D 84 (2011) 094504
•
e-Print:
- 1104.3384
•
DOI:
- 10.1103/PhysRevD.84.094504

[9]

On a Systematic Derivation of the Quark - Anti-quark Potential

A. Barchielli
(
- Milan U. and
- INFN, Milan
)
,
E. Montaldi
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Nucl.Phys.B 296 (1988) 625,
- Nucl.Phys.B 303 (1988) 752 (erratum)
•
DOI:
- 10.1016/0550-3213(88)90036-3

[9]

Relativistic Corrections to the Quark - anti-Quark Potential and the Quarkonium Spectrum

A. Barchielli
(
- Milan U. and
- INFN, Milan
)
,
N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Nuovo Cim.A 103 (1990) 59
•
DOI:
- 10.1007/BF02902620

[10]

Proper heavy-quark potential from a spectral decomposition of the thermal Wilson loop

- PoS LAT2009 (2009) 162
•
e-Print:
- 0910.2321
•
DOI:
- 10.22323/1.091.0162

[11]

Maximum entropy analysis of the spectral functions in lattice QCD

- Prog.Part.Nucl.Phys. 46 (2001) 459-508
•
e-Print:
- hep-lat/0011040
•
DOI:
- 10.1016/S0146-6410(01)00150-8

[12]

(to be Published, source code available at )

A. Rothkopf

- http://www.scicode.org/ExtMEM

[13]

Spectral function and excited states in lattice QCD with maximum entropy method

CP-PACS

Collaboration

•

T. Yamazaki
(
- Tsukuba U.
)

et al.

- Phys.Rev.D 65 (2002) 014501
•
e-Print:
- hep-lat/0105030
•
DOI:
- 10.1103/PhysRevD.65.014501

[14]

Numerical study of O(a) improved Wilson quark action on anisotropic lattice

- Phys.Rev.D 64 (2001) 114503
•
e-Print:
- hep-lat/0107001
•
DOI:
- 10.1103/PhysRevD.64.114503

[15]

(r, τ) at low T is clearly dominated by a single exponential falloff, we used naive exponential fitting for β = 7 in the determination of V (r) at small r

Since W

[16]

In our preliminary result at T = 2.33TC reported in [10], we could not identify the strong rise of V (r) due to unstable exponential fitting of the data with small Statistics

[17]

Heavy quarkonium in any channel in resummed hot QCD

- JHEP 01 (2008) 043
•
e-Print:
- 0711.1743
•
DOI:
- 10.1088/1126-6708/2008/01/043

1-25 of 27
1
2
25 / page