1,721,017 research outputs found

    ANOMALOUS DIMENSION OF LOCAL OPERATORS ON THE LATTICE

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    We study the scaling properties of local operators on the lattice. The correction to the naive scaling is found by using the renormalization group equation, which determines how the matrix elements must scale with the lattice spacing to keep renormalized quantities fixed. The results are applied to the topological charge density operator for the SU (N) Yang-Mills theory

    Topology, chiral and screening transitions at finite density in two colour QCD

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    The behaviour of the topological susceptibility in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that its signal drops at a (pseudo-)critical chemical potential mu_c. The Polyakov loop and the chiral condensate undergo their transitions at the same value. Pauli blocking supervenes at a value of the chemical potential larger than mu_c

    Topological properties of QCD with two dynamical fermions

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    We investigate the topological susceptibility of the QCD vacuum with two flavours of dynamical staggered fermions on the lattice both at zero and finite temperature. At zero temperature we study the dependence of the signal on the fermion mass and at finite temperature we analyze the behaviour across the phase transition

    Topology at zero and finite T in SU(2) Yang-Mills theory

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    We determine the topological susceptibility \chi at T=0 and its behaviour at finite T across the deconfining transition in pure SU(2) gauge theory. We use an improved topological charge density operator. \chi goes to zero above T_c, but more slowly than in SU(3) gauge theory

    Topological susceptibility at zero and finite T in SU(3) Yang-Mills theory

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    We determine the topological susceptibility chi at T = 0 in pure SU(3) gauge theory and its behaviour at finite T across the deconfining transition. We use an improved topological charge density operator. chi drops sharply by one order of magnitude at the deconfining temperature Tc

    Topological susceptibility in full QCD at zero and finite temperature

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    We present a study of the topological susceptibility χ\chi on the lattice for full QCD with 2 and 4 flavours of staggered fermions at zero and finite temperature T. We find that χ\chi presents a sharp drop across the deconfinement transition. We also study the dependence of χ\chi on the quark mass at T=0: we have no conclusive evidence for the expected chiral behaviour

    Topology, chiral and Polyakov loop transitions at finite density in two-colour QCD

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    The behaviour of the topological susceptibility chi in QCD with two colours and 8 flavours of staggered quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of chi drops abruptly at the (pseudo–)critical chemical potential mc, much as it happens at the finite temperature and zero density transition. The Polyakov loop and the chiral condensate undergo their transitions at the same potential mc. At a value ms of the chemical potential, which satisfies ms >mc, Pauli blocking supervenes and the theory becomes quenched

    Topological susceptibility in full QCD at zero and finite temperature

    No full text
    We present a study of the topological susceptibility chi on the lattice for full QCD with 2 and 4 flavours of staggered fermions at zero and finite temperature T. We find that chi presents a sharp drop across the deconfinement transition. We also study the dependence of chi on the quark mass at T = 0: we have no conclusive evidence for the expected chiral behaviour

    Topology at zero and finite T in SU(2) Yang-Mills theory

    No full text
    We determine the topological susceptibility chi at T= 0 and its behaviour at finite T across the deconfining transition in pure SU(2) gauge theory. We use an improved topological charge density operator. chi goes to zero above T_c, but more slowly than in SU(3) gauge theory

    Topology in QCD with four flavors of dynamical fermions

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    We study the topological properties of full QCD with four flavours of dynamical staggered fermions. In particular the topological susceptibility is measured and the problem of the determination of its first derivative is discussed
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