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QCD Spectral Function from both Euclidean and Light Cone Transverse Lattice QCD (QCDSF)
Start date: 01 Nov 2007, End date: 31 Dec 2008 PROJECT  FINISHED 

Data on Quark-Gluon plasma (QGP) are expected to come from the upcoming experiments at ALICE and RHIC and expected to yield comprehensive understanding of this new phase of QCD. The strongly interacting quark-gluon plasma (sQGP) is now believed to be the appropriate theory to understand the dynamics in this phase and hence nonperturbative studies are essential. The main objective of this project is to theoretically analyze the characteristics of the sQGP, focusing in particular on questions relevant for the dynamics in real time. To understand the sQGP, it is important to determine the true degrees of freedom in the plasma. These are encoded in the spectral functions, from which in-medium quasiparticle masses, widths and decay properties can be learnt. We propose to apply both euclidean lattice and light cone transverse lattice methods to investigate the spectral functions of sQGP. Numerical lattice QCD simulations require inversion of the euclidean correlator to extract the spectral function which requires advanced statistical approaches. We apply Maximal Entropy Method based on Bayesian statistics for Euclidean lattice simulations. Light-cone transverse lattice approach is based on the Hamiltonian method. The composite states are expanded in Fock space basis and the QCD Hamiltonian diagonalised to produce the eigenstate and enable the calculation of QCD spectral functions. The second part of our project involves nonperturbative computations of sQGP transport coefficients shear and bulk viscosity, diffusion coefficients, electric conductivity etc. These quantities are important for our theoretical understanding as well as for phenomenological applications of non-ideal hydrodynamics to the dynamics of heavy ion collisions.
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