38,398 research outputs found

    Thermodynamics of lattice QCD with 2 flavours of colour-sextet quarks: A model of walking/conformal Technicolor

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    QCD with two flavours of massless colour-sextet quarks is considered as a model for conformal/walking Technicolor. If this theory possess an infrared fixed point, as indicated by 2-loop perturbation theory, it is a conformal(unparticle) field theory. If, on the other hand, a chiral condensate forms on the weak-coupling side of this would-be fixed point, the theory remains confining. The only difference between such a theory and regular QCD is that there is a range of momentum scales over which the coupling constant runs very slowly (walks). In this first analysis, we simulate the lattice version of QCD with two flavours of staggered quarks at finite temperatures on lattices of temporal extent Nt=4N_t=4 and 6. The deconfinement and chiral-symmetry restoration couplings give us a measure of the scales associated with confinement and chiral-symmetry breaking. We find that, in contrast to what is seen with fundamental quarks, these transition couplings are very different. β=6/g2\beta=6/g^2 for each of these transitions increases significantly from Nt=4N_t=4 and Nt=6N_t=6 as expected for the finite temperature transitions of an asymptotically-free theory. This suggests a walking rather than a conformal behaviour, in contrast to what is observed with Wilson quarks. In contrast to what is found for fundamental quarks, the deconfined phase exhibits states in which the Polyakov loop is oriented in the directions of all three cube roots of unity. At very weak coupling the states with complex Polyakov loops undergo a transition to a state with a real, negative Polyakov loop.Comment: 21 pages, 9 figures, Revtex with postscript figures. One extra reference was added; text is unchanged. Corrected typographical erro

    PHENIX Measurement of High-pTp_T Hadron-hadron and Photon-hadron Azimuthal Correlations

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    High-pTp_T hadron-hadron correlations have been measured with the PHENIX experiment in \Cu and \pp collisions at sNN=200\sqrt{s_{NN}}=200 GeV. A comparison of the jet widths and yields between the two colliding systems allows us to study the medium effect on jets. We also present a first measurement of direct photon-hadron correlations in \Au and \pp collisions. We find that the near-side yields are consistent with zero in both systems. By comparing the jet yields on the away side, we observe a suggestion of the expected suppression of hadrons associated with photons in \Au collisions.Comment: 5 pages, proceeding for parallel talk on Quark Matter 200

    Thermodynamics of lattice QCD with 2 sextet quarks on N_t=8 lattices

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    We continue our lattice simulations of QCD with 2 flavours of colour-sextet quarks as a model for conformal or walking technicolor. A 2-loop perturbative calculation of the β\beta-function which describes the evolution of this theory's running coupling constant predicts that it has a second zero at a finite coupling. This non-trivial zero would be an infrared stable fixed point, in which case the theory with massless quarks would be a conformal field theory. However, if the interaction between quarks and antiquarks becomes strong enough that a chiral condensate forms before this IR fixed point is reached, the theory is QCD-like with spontaneously broken chiral symmetry and confinement. However, the presence of the nearby IR fixed point means that there is a range of couplings for which the running coupling evolves very slowly, i.e. it 'walks'. We are simulating the lattice version of this theory with staggered quarks at finite temperature studying the changes in couplings at the deconfinement and chiral-symmetry restoring transitions as the temporal extent (NtN_t) of the lattice, measured in lattice units, is increased. Our earlier results on lattices with Nt=4,6N_t=4,6 show both transitions move to weaker couplings as NtN_t increases consistent with walking behaviour. In this paper we extend these calculations to Nt=8N_t=8. Although both transition again move to weaker couplings the change in the coupling at the chiral transition from Nt=6N_t=6 to Nt=8N_t=8 is appreciably smaller than that from Nt=4N_t=4 to Nt=6N_t=6. This indicates that at Nt=4,6N_t=4,6 we are seeing strong coupling effects and that we will need results from Nt>8N_t > 8 to determine if the chiral-transition coupling approaches zero as Nt→∞N_t \rightarrow \infty, as needed for the theory to walk.Comment: 21 pages Latex(Revtex4) source with 4 postscript figures. v2: added 1 reference. V3: version accepted for publication, section 3 restructured and interpretation clarified. Section 4 future plans for zero temperature simulations clarifie

    Asymptotic Formulas for the Zeros of the Meixner Polynomials

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    AbstractThe zeros of the Meixner polynomialmn(x;β,c) are real, distinct, and lie in (0,∞). Letαn,sdenote thesth zero ofmn(nα;β,c), counted from the right; and letαn,sdenote thesth zero ofmn(nα;β,c), counted from the left. For each fixeds, asymptotic formulas are obtained for bothαn,sandαn,s, asn→∞
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