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      Hadrons in strongly interacting matter

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          Abstract

          We review the current status of theories and experiments aiming at an understanding and a determination of the properties of light vector and scalar mesons inside strongly interacting hadronic matter. Starting from a discussion of the relevant symmetries of QCD and their connection with the hadronic description through QCD sum rules we then discuss hadronic models used to calculate the in-medium self-energies of hadrons and their spectral functions. The difficulties to link these calculated properties to actual observables are emphasized. Finally, we review in detail all the running experiments searching for in-medium changes of vector and scalar mesons, both with relativistic heavy-ion reactions as well as with elementary reactions on (cold) nuclei. Inconsistencies among experimental results are discussed. While almost all experiments observe a considerable broadening of vector mesons inside the nuclear medium, no evidence for mass changes is observed in the majority of the experiments.

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          Behavior of Current Divergences underSU3×SU3

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            The order of the quantum chromodynamics transition predicted by the standard model of particle physics

            We determine the nature of the QCD transition using lattice calculations for physical quark masses. Susceptibilities are extrapolated to vanishing lattice spacing for three physical volumes, the smallest and largest of which differ by a factor of five. This ensures that a true transition should result in a dramatic increase of the susceptibilities.No such behaviour is observed: our finite-size scaling analysis shows that the finite-temperature QCD transition in the hot early Universe was not a real phase transition, but an analytic crossover (involving a rapid change, as opposed to a jump, as the temperature varied). As such, it will be difficult to find experimental evidence of this transition from astronomical observations.
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              Diquark Bose Condensates in High Density Matter and Instantons

              Instantons lead to strong correlations between up and down quarks with spin zero and anti-symmetric color wave functions. In cold and dense matter, \(n_b>n_c\simeq 1 fm^{-3}\) and \(T \) condensate and restoring chiral symmetry. At high density, the ground state is a color superconductor in which diquarks play the role of Cooper pairs. An interesting toy model is provided by QCD with two colors: it has a particle-anti-particle symmetry which relates \( \) and \( \) condensates.
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                Author and article information

                Journal
                14 July 2009
                2010-06-15
                Article
                10.1142/S0218301310014728
                0907.2388
                a6d2bb87-2af1-47bf-9f3a-1e64401fdd4c

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Int.J.Mod.Phys.E19:147-224,2010
                Review, revised version, to appear in Int. J. Mod. Phys. E
                nucl-th hep-ph nucl-ex

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