Chiral symmetry restoration in holographic noncommutative QCD

Abstract

We consider the noncommutative deformation of the Sakai-Sugimoto model at finite temperature and finite baryon chemical potential. The space noncommutativity is possible to have an influence on the flavor dynamics of the QCD. The critical temperature and critical value of the chemical potential are modified by the space noncommutativity. The influence of the space noncommutativity on the flavor dynamics of the QCD is caused by the Wess-Zumino term in the effective action of the D8-branes. The intermediate temperature phase, in which the gluons deconfine but the chiral symmetry remains broken, is easy to be realized in some region of the noncommutativity parameter.

The Spectrum of Low Spin Mesons at Finite Temperature in Holographic Noncommutative QCD

“…We notice that the masses of light vector-and pseudovector-meson return to the commutative case as the noncommutativity parameter becomes larger. This feature is common with the gravity dual of noncommutative gauge theories [14,13,29]. The mass trajectories for the ground and excited state in the intermediate-temperature regime are shown in figure 5.…”

“…The variation of masses of meson with temperature becomes small in noncommutative case. The intermediate-temperature phase is easy to be realized in the noncommutative deformation of the holographic QCD model [29]. The smallness of mass variation with temperature, namely, the hardness of melting meson may be related with the property of phase in the noncommutative deformation of the holographic QCD model.…”

“…In this paper, we construct the noncommutative deformation of the holographic QCD at finite temperature in imitation of the method by Alishahiha et al [9] and Arean et al [14] and investigate the influence of space noncommutativity on the mass spectrum of low spin mesons in the QCD at finite temperature. There are some attempts to investigate the nontrivial effect of the space noncommutativity on the QCD in the context of the noncommutative deformation of the holographic QCD [29,30]. As will be seen later, the space noncommutativity is also able to modify the mass spectrum of meson.…”

Baryon number current in holographic noncommutative QCD

“…However, the transition temperature T c , the transition electric field e c and magnetic field b c in the conductor-insulator phase transition depend on the noncommutativity parameter θ. Namely, the noncommutativity of space coordinates has an influence on the shape of the phase diagram for the conductor-insulator phase transition. It is known that the noncommutativity of space coordinates also has an influence on the shape of the phase diagram for the chiral symmetry breaking-chiral symmetry restoration within the framework of the noncommutative deformation of the holographic QCD model at finite temperature [37]. It can be regarded as an example that the noncommutativity of space coordinates reflects physical quantities [38,36].…”

“…The effect of the noncommutativity on the chiral phase transition have been examined by the noncommutative deformation of the holographic QCD model at finite temperature. The phase diagrams for the the chiral phase transition can be deformed by the noncommutativity of space coordinates [37].…”