Holographic symmetry energy of the nuclear matter

Abstract

We calculate the symmetry energy of the nuclear matter by using the bottom-up approach, so called hard wall model. To consider the nuclear matter, we introduce the isospin for u-and d-quarks. We find that in the hard wall model, the symmetry energy of the nuclear matter is proportional to the square of nucleon density. We also study the symmetry energy of the quark matter in the deconfining phase. Finally, we investigate the effect of the symmetry energy on the Hawking-Page transition and show that at the given quark density, the Hawking-Page transition temperature decreases due to the symmetry energy. *

Properties of holographic mesons on dense medium

“…The inserted hard-wall plays a role of setting up an infrared cutoff of the dual boundary theory in the confining phase and, at the same time, prevents any harm to bulk quantities from the naked singularity. The generalization to the two-flavour U (2) case is also possible where combinations of two Cartans are mapped to the chemical potentials or number densities of u and d quark [25]. Since the geometry corresponds to confining phase of the boundary theory, the fundamental excitations are not quarks but nucleons.…”

“…Then, the thermal charged AdS(tcAdS) space can be one of the useful candidates. To construct a background geometry, it is necessary to identify two quantum numbers, baryon and isospin charges [25]. For this purpose, we choose the bulk gauge group to be U (2) L × U (2) R , which realizes the N f = 2 lightest flavor symmetry of the dual theory.…”

“…For this purpose, we choose the bulk gauge group to be U (2) L × U (2) R , which realizes the N f = 2 lightest flavor symmetry of the dual theory. An action suitable for this is given by (See the details in [17,25])…”

“…JHEP05 (2015)011 while leaving the details in the explanations of the works [17,25]. The gauge field is given by…”

“…These works can be further generalized to the bottom-up models on dense medium [17][18][19][20][21][22][23][24][25][26][27][28]. The density in the dual boundary field theory implies to introduce a U (1) gauge…”