The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We propose a version of the algebraic index theorem for a Poisson manifold which is based on this trace density map. 1991 MSC: 19K56, 16E40.

In this paper, we study thermodynamics and phase structure of asymptotically AdS hairy Reissner-Nordstr\"om-AdS (RNAdS) black holes in the extended space, where cosmological constant is interpreted as a thermal pressure. The RNAdS are hole solutions an Einstein-Maxwell-scalar (EMS) model with nonminimal coupling between scalar electromagnetic fields. Smarr relation, first law free energy derive...

omotopy analysis method (ham) is a promising method for handling func-tional equations. recent publications proved the eectiveness of ham in solvingwide variety of problems in dierent elds. ham has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. in this work, we claried theadvantages ...

The quasielastic longitudinal electromagnetic response function RL is studied within the context of a model that extends our previous investigations of pionic correlations and currents. Four mesons are now employed (π, ρ, σ and ω, via the Bonn potential) and the many-body dynamics are extended to the full random-phase approximation built upon a Hartree-Fock basis. Wherever possible the Lorentz ...

In ultrarelativistic heavy ion collisions a finite size QCD medium is created. In this paper we compute radiative energy loss to zeroth order in opacity by taking into account finite size effects. Transition radiation occurs on the boundary between the finite size medium and the vacuum, and we show that it lowers the difference between medium and vacuum zeroth order radiative energy loss relati...