Thermodynamics of deformed AdS5 model with a positive/negative quadratic correction in graviton-dilaton system

Abstract

By solving the Einstein equations of the graviton coupling with a real scalar dilaton field, we establish a general framework to self-consistently solve the geometric background with black-hole for any given phenomenological holographic models. In this framwork, we solve the black-hole background, the corresponding dilaon field and the dilaton potential for the deformed AdS 5 model with a positive/negative quadratic correction. We systematically investigate the thermodynamical properties of the deformed AdS 5 model with a positive and negative quadratic correction, respectively, and compare with lattice QCD on the results of the equation of state, the heavy quark potential, the Polyakov loop and the spatial Wilson loop. We find that the bulk thermodynamical properties are not sensitive to the sign of the quadratic correction, and the results of both deformed holographic QCD models agree well with lattice QCD result for pure SU(3) gauge theory. However, the results from loop operators favor a positive quadratic correction, which agree well with lattice QCD result. Especially, the result from the Polyakov loop excludes the model with a negative quadratic correction in the warp factor of AdS 5 .

Temperature dependent transport coefficients in a dynamical holographic QCD model

“…A dynamical holographic QCD(DHQCD) model [81,82] has been constructed by potential reconstruction approach [84]. In this model, authors introduce the dilaton field Φ(z) to describe the gluon dynamics and the scalar field X(z) to mimic chiral dynamics.…”

“…Input the metric structure to solve the field(s) and the potential(s) of the field(s) [84,[92][93][94].…”

The effects of deformation parameter on thermal width of moving quarkonia in plasma

“…From viewpoint of holography, the AdS/CFT correspondence can describe a "brocken conformal symmetry", when one adds a proper deformed warp factor in front of the AdS 5 metric structure [17,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61]. So, e cz 2 is a positive quadratic correction with z, the fifth dimension.…”

A refined holographic QCD model and QCD phase structure

“…On the other hand, the Einstein-dilaton and Einstein-Maxwell-dilaton models have been widely studied numerically [12][13][14][15][16] to investigate the thermodynamical properties and explore the phase structure in QCD. Recently, by the potential reconstruction method, analytic solutions have been obtained in the Einstein-dilaton model [17] as well as in the Einstein-Maxwell-dilaton model [16,18].…”