Thermal entropy of a quark-antiquark pair above and below deconfinement from a dynamical holographic QCD model

We discuss the entropy carried by a quark-antiquark pair, in particular across the deconfinement transition. We therefore rely on a self-consistent solution to Einstein-Maxwell-dilaton gravity, capable of mimicking essential features of QCD. In particular we introduce a novel model that still captures well the QCD confinement and deconfinement phases, while allowing the introduction of a temperature in a phase which resembles the confined phase, this thanks to it being dual to a small black hole. We pay due attention to some subtleties of such a model. We confirm the lattice picture of a strong build-up of thermal entropy towards the critical temperature Tc, both coming from below or above Tc. We also include a chemical potential, confirming this entropic picture and we consider its effect on the speed of sound. Moreover, the temperature dependent confinement phase from the holography side allows us to find a string tension that does not vanish at Tc, a finding also supported by lattice QCD.

Note:

33 pages. v2: improved discussion on string tension and extra references. v3: version accepted by PhysRevD

quark antiquark: pair
quantum chromodynamics: model
quantum chromodynamics: holography
gravitation: dilaton
potential: chemical
velocity: acoustic
deconfinement
entropy
confinement
thermal

References(115)

Figures(25)

[1]

$J/\psi$ Production vs Centrality, Transverse Momentum, and Rapidity in Au+Au Collisions at $\sqrt{s_{NN}} = 200$ GeV

PHENIX

Collaboration

•

A. Adare
(
- Colorado U.
)

et al.

- Phys.Rev.Lett. 98 (2007) 232301
•
e-Print:
- nucl-ex/0611020
•
DOI:
- 10.1103/PhysRevLett.98.232301

[2]

Centrality, rapidity and transverse momentum dependence of $J/\psi$ suppression in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ =2.76 TeV

ALICE

Collaboration

•

Betty Bezverkhny Abelev
(
- LLNL, Livermore
)

et al.

- Phys.Lett.B 734 (2014) 314-327
•
e-Print:
- 1311.0214
•
DOI:
- 10.1016/j.physletb.2014.05.064

[3]

$J/\psi$ 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

[4]

(Non)thermal aspects of charmonium production and a new look at J / psi suppression

P. Braun-Munzinger
(
- Darmstadt, GSI
)
,
J. Stachel
(
- Heidelberg U.
)

- Phys.Lett.B 490 (2000) 196-202
•
e-Print:
- nucl-th/0007059
•
DOI:
- 10.1016/S0370-2693(00)00991-6

[5]

Enhanced $J/\psi$ production in deconfined quark matter

- Phys.Rev.C 63 (2001) 054905
•
e-Print:
- hep-ph/0007323
•
DOI:
- 10.1103/PhysRevC.63.054905

[6]

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

[7]

The relation between cross-section, decay width and imaginary potential of heavy quarkonium in a quark-gluon plasma

Miguel Ángel Escobedo
(
- Munich, Tech. U.
)

- J.Phys.Conf.Ser. 503 (2014) 012026
•
e-Print:
- 1401.4892
•
DOI:
- 10.1088/1742-6596/503/1/012026

[8]

Thermal Width of the $\Upsilon$ at Large t' Hooft Coupling

Jorge Noronha
(
- Columbia U.
)
,
Adrian Dumitru
(
- Baruch Coll. and
- CUNY, Graduate School - U. Ctr. and
- Brookhaven
)

- Phys.Rev.Lett. 103 (2009) 152304
•
e-Print:
- 0907.3062
•
DOI:
- 10.1103/PhysRevLett.103.152304

[9]

Deconfinement as an entropic self-destruction: a solution for the quarkonium suppression puzzle?

Dmitri E. Kharzeev
(
- Brookhaven and
- SUNY, Stony Brook
)

- Phys.Rev.D 90 (2014) 7, 074007
•
e-Print:
- 1409.2496
•
DOI:
- 10.1103/PhysRevD.90.074007

[10]

Heavy quark anti-quark free energy and the renormalized Polyakov loop

- Phys.Lett.B 543 (2002) 41-47
•
e-Print:
- hep-lat/0207002
•
DOI:
- 10.1016/S0370-2693(02)02415-2

[11]

Free energy of a static quark anti-quark pair and the renormalized Polyakov loop in three flavor QCD

P. Petreczky
(
- Brookhaven
)
,
K. Petrov
(
- Brookhaven
)

- Phys.Rev.D 70 (2004) 054503
•
e-Print:
- hep-lat/0405009
•
DOI:
- 10.1103/PhysRevD.70.054503

[12]

O. Kaczmarek
,
F. Zantow

- PoS 2006 192

[13]

Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding

Olaf Kaczmarek
(
- Bielefeld U.
)
,
Felix Zantow
(
- Brookhaven
)

- Phys.Rev.D 71 (2005) 114510
•
e-Print:
- hep-lat/0503017
•
DOI:
- 10.1103/PhysRevD.71.114510

[14]

Entropic destruction of heavy quarkonium in non-Abelian plasma from holography

Koji Hashimoto
(
- Osaka U. and
- Nishina Ctr., RIKEN
)
,
Dmitri E. Kharzeev
(
- SUNY, Stony Brook and
- Brookhaven
)

- Phys.Rev.D 90 (2014) 12, 125012
•
e-Print:
- 1411.0618
•
DOI:
- 10.1103/PhysRevD.90.125012

[15]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[15]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1