Some Applications of AdS/QCD
Sanjay Siwach and Shobhit Sachan
Department of Physics, Banaras Hindu University,
Varanasi-221005, INDIA.
Abstract
We consider the holographic models of Quantum Chromo Dynamics (QCD) inspired by AdS/CFT correspondence.
The hard wall model of AdS/QCD captures the essential features of QCD like chiral symmetry breaking, confinement-
decofinement transition and spectrum of mesons and baryons. The refinement of model so called soft wall model
includes dilaton field and is successful to capture the linear Regge trajectories. We review both the models and
discuss the hadronic spectra, meson baryon couplings and finite temperature thermodynamics including the chemical
potential.
Keywords: Holographic QCD Models, Meson Baryon couplings, Phase Diagram
1. Introduction
The strongly coupled domain of theories like Quan-
tum Chromo Dynamics (QCD) is still not well under-
stood and many approaches are available like lattice
QCD and use of AdS/CFT correspondence [1]. The
lattice QCD is considered an ab initio approach where
many results have become available and are thought to
be very reliable. A complementary approach using anti-
de-Sitter/boundary theory correspondence is also avail-
able for last few years and is named as AdS/QCD or
holographic QCD.
The later approach using AdS/CFT correspondence
is considered very useful particularly for the strongly
coupled gauge theories, where one can make use of su-
pergravity approximation in the bulk theory. The corre-
spondence is holographic in nature and a weakly cou-
pled gravity theory in five dimensional spacetime cap-
tures essential features of QCD on the boundary of the
spacetime. An example of this approach is the use of
D-brane models e.g. Sakai-Sugimoto model in string
theory.
A bottom up approach can also be used where one
tries to capture the low energy dynamics of QCD by a
minimal set of fields in five dimensional anti-de-Sitter
spacetime [2, 3, 4]. The model consists of the bulk
scalar field dual to quark condensate in order to cap-
ture the features of chiral symmetry breaking and gauge
fields which couple to boundary currents. In addition to
UV cut-off at infinity, one has to impose IR boundary
conditions to the fields. The IR cut-off in the model is
introduced to realize confinement-deconfinement tran-
sition [2]. The results from this model are 10-15 percent
off the experimental results.
A modified version of the above model is known as
soft wall model [5]. In this model the IR cut off is
pushed to infinity and a dilation field is introduced in
the bulk. The presence of dilaton field replaces the hard
wall (IR cut off) with the soft wall. The model is par-
ticularly useful as it gives the linear Regge trajectories.
Also the overall predictions of the model are better than
the hard wall model. The available results from these
models indicate that they are successful phenomenolog-
ical models of low energy QCD.
In this article I shall discuss these models and
some applications like hadronic spectra, meson baryon
couplings and deconfinement transition from hadronic
phase to quark gluon plasma phase.
Available online at www.sciencedirect.com
Nuclear Physics B (Proc. Suppl.) 251–252 (2014) 150–153
0920-5632/© 2014 Elsevier B.V. All rights reserved.
www.elsevier.com/locate/npbps
http://dx.doi.org/10.1016/j.nuclphysbps.2014.05.002