A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton system - INSPIRE

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A hQCD model and its phase diagram in Einstein-Maxwell-Dilaton system

Rong-Gen Cai
(
- Beijing, Inst. Theor. Phys. and
- Beijing, KITPC
)
,
Song He
(
- Beijing, Inst. Theor. Phys. and
- Beijing, KITPC
)
,
Danning Li
(
- Beijing, Inst. High Energy Phys.
)

Jan, 2012

26 pages

Published in:

JHEP 03 (2012) 033

e-Print:

1201.0820 [hep-th]

DOI:

10.1007/JHEP03(2012)033

View in:

ADS Abstract Service

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Abstract: (arXiv)

By use of the potential reconstruction approach we obtain a series of asymptotically AdS (aAdS) black hole solutions in an Einstein-Maxwell-Dilaton (EMD) system. Basing on the solutions of the system, we reconstruct a semi-analytical holographic QCD (hQCD) model with a quadratic term in warped factor. We discuss some aspects of the hQCD model, in particular we calculate the free energy of two static color sources (a heavy quark-antiquark pair) which is an important order parameter to describe confinement/deconfinement phase transition. The behavior of the free energy with respect to temperature and chemical potential is studied. We find that in the hQCD model the deconfinement phase transition can be realized and a critical point occurs. The resulting phase diagram in the temperature-chemical potential

T-\mu

plane is in quite good agreement with the one from recent lattice results and effective models of QCD.

Note:

27 pages, 11 figures, regular paper, add some comments and references, accepted by JHEP

Einstein-Maxwell-Dilaton
black hole solution
QCD phase diagram
AdS/CFT
Einstein-Maxwell equation
dilaton
critical phenomena: deconfinement
quantum chromodynamics: model
potential: chemical
quantum chromodynamics: holography

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