Holographic melting of Heavy Baryons in Plasma with Gluon Condensation

We propose a Dirac-Born-Infeld ( DBI ) D5 vertex brane plus Nc fundamental strings configuration to describe a baryon probe in strongly coupled gauge theory with gluon condensation at finite temperature via AdS/CFT correspondence. We investigate properties of this configuration in a dilaton deformed AdS5×S background, in which IIB string theroy is dual to super Yang-Mills thery in a state with a constant self-dual gauge field (Fmn = F ∗ mn) background. We find that for most values of temperature T and gluon condensation parameter q (q = π2 < FmnFmn >), there always exists a screening length Ls. The relation Ls ∼ 1 T has been checked. We give the q dependence of Ls. We calculate the boost velocity v(v = − tanh η) and angular velocity ω dependence of Ls for a baryon probe, and obtain Ls = L0 ∗ (1 − v2)1/4 for large v and Ls ∼ ω−1, which are consistent with those dependence relations in the point brane plus strings case, and find that the usual relations have been modified by q. We also calculate the mass of baryon and find T dependence of baryon mass.