PaperPanorama

HEP Lattice·hep-lat

Wed·Sep 10, 2003

7 papers—6 primary·1 cross-listed·reconstructed*

All7Primary6Cross-lists1
  1. 01*

    Localization in lattice QCD (with emphasis on practical implications)

    Maarten Golterman🇺🇸 · Yigal Shamir🇮🇱

    When Anderson localization takes place in a quenched disordered system, a continuous symmetry can be broken spontaneously without accompanying Goldstone bosons. Elaborating on this observation we propose a unified, microscopic physical picture of the phase diagram of both quenched and unquenched QCD with two flavors of Wilson fermions. The phase with Goldstone bosons -- by definition the Aoki phase -- is always identified as the region where the mobility edge of the (hermitian) Wilson operator is zero. We then discuss the implications for domain-wall and overlap fermions. We conclude that both formulations are valid only well outside the Aoki phase of the associated Wilson-operator kernel, because this is where locality and chirality can be both maintained.

    hep-latNucl.Phys.B Proc.Suppl.(2004)·17 citations
  2. 02*

    Numerical confirmation of analytic predictions for the finite volume mass gap of the XY-model

    Janos Balog🇭🇺 · Francesco Knechtli🇩🇪 · Tomasz Korzec🇩🇪 · Ulli Wolff🇩🇪

    Recent exact predictions for the massive scaling limit of the two dimensional XY-model are based on the equivalence with the sine-Gordon theory and include detailed results on the finite size behavior. The so-called step-scaling function of the mass gap is simulated with very high precision and found consistent with analytic results in the continuum limit. To come to this conclusion, an also predicted form of a logarithmic decay of lattice artifacts was essential to use for the extrapolation.

    hep-latcond-mat.stat-mechNPB(2003)·9 citations
  4. 04*

    Random Matrix Theory and the Spectra of Overlap Fermions

    S. Shcheredin🇩🇪 · W. Bietenholz🇩🇪 · T. Chiarappa🇩🇪 · K. Jansen🇩🇪 · K.-I. Nagai🇩🇪

    The application of Random Matrix Theory to the Dirac operator of QCD yields predictions for the probability distributions of the lowest eigenvalues. We measured Dirac operator spectra using massless overlap fermions in quenched QCD at topological charge \nu = 0, +- 1 and +- 2, and found agreement with those predictions - at least for the first non-zero eigenvalue - if the volume exceeds about (1.2 fm)^4.

    hep-lathep-thNucl.Phys.B Proc.Suppl.(2004)·17 citations
  5. 05*

    Investigations on the deconfining phase transition in QCD

    P. Cea🇮🇹 · L. Cosmai🇮🇹 · M. D'Elia🇮🇹

    We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions by means of a gauge invariant thermal partition functional. In the pure gauge case our finite size scaling analysis is in agreement with the well known weak first order phase transition. In the case of 2 flavors full QCD we find that the phase transition is consistent with weak first order, contrary to the expectation of a crossover for not too large quark masses.

    hep-latNucl.Phys.B Proc.Suppl.(2004)·3 citations
  6. 06*

    Interplay of Monopoles and P-Vortices

    A.V. Kovalenko🇷🇺 · M.I. Polikarpov🇷🇺 · S.N. Syritsyn🇷🇺 · V.I. Zakharov🇩🇪

    We show that P-Vortices in the confinement phase of SU(2) lattice gauge theory form one large percolating (infrared) cluster and a number of small (ultraviolet) clusters. We discuss the interrelation of clusters of monopoles in the maximal Abelian projection with clusters of P-vortices. To extract P-vortices we use both direct and indirect central projections and find qualitatively similar results.

    hep-latNucl.Phys.B Proc.Suppl.(2004)·14 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.