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Holographic melting of heavy baryons in plasma with gluon condensation

We propose a Dirac-Born-Infeld (DBI) D5 vertex brane plus N(c) 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 AdS(5) x S(5) background, in which IIB string theory is dual to super Yang-Mills theory in a state with a constant self-dual gauge field (F(mn) = F(mn)*) background. We find that for most values of temperature T and gluon condensation parameter q (q = pi(2) ), there always exists a screening length L(s). The relation L(s) similar to 1/T has been checked. We give the q dependence of L(s). We calculate the boost velocity nu(nu = - tanh eta) and angular velocity omega dependence of L(s) for a baryon probe, and obtain L(s) = L(0)* (1-nu(2))(1/4) for large nu and L(s) similar to omega(-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.