HEP Lattice·hep-lat
10 papers—9 primary·1 cross-listed·reconstructed*
Continuum reduction in large N QCD enables one to extract physical quantities in the limit of QCD by working in small physics volumes. The computation of chiral condensate is an example of such a calculation.
Y. Nakamura🇯🇵 · V.G. Bornyakov🇷🇺 · M.N. Chernodub🇷🇺 · Y. Mori🇯🇵 · S.M. Morozov🇷🇺 · M.I. Polikarpov🇷🇺 · G. Schierholz🇩🇪 · A.A. Slavnov🇷🇺 · H. Stueben🇩🇪 · T. Suzuki🇯🇵
We present results obtained in QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on and lattices. We determine the transition temperature in the range of quark masses at lattice spacing a0.1 fm and extrapolate the transition temperature to the continuum and to the chiral limits.
Giulia M. de Divitiis🇮🇹 · Nazario Tantalo🇮🇹
We discuss the quantization of the energy levels of two-particle scattering states in a finite volume in the case of Bloch-type boundary conditions. A generalization of the Luescher quantization condition is obtained that can be used in order to calculate the scattering phases, resulting for example by the strong elastic interaction of two pions, at fixed physical momentum transfers on a sequence of volumes of growing sizes. We also give a generalization of the Lellouch-Luescher formula to be used to extract the physical decay rate for a kaon decaying into two pions below the inelastic threshold from finite volume calculations. The formula is valid up to corrections exponentially vanishing in the volume. By using this formula the calculation can in principle be performed on different finite volumes of growing sizes in order to keep under control the corrections.
This paper provides a technical companion to M. Aguado and E. Seiler, hep-lat/0406041, in which the fate of perturbation theory in the thermodynamic limit is discussed for the O(N) model on a 2d lattice and different boundary conditions. The techniques used to compute perturbative coefficients are explained, and results for all boundary conditions considered reviewed in detail.
F. Alet🇨🇭 · B. Lucini🇨🇭 · M. Vettorazzo🇨🇭
A new algorithm for simulating compact U(1) lattice gauge theory in three dimensions is presented which is based on global changes in the configuration space. We show that this algorithm provides an effective way to extract partition functions at given external flux. As an application, we study numerically the finite temperature deconfinement phase transition.
Vicente Azcoiti🇪🇸 · Giuseppe Di Carlo🇮🇹 · Angelo Galante🇮🇹 · Victor Laliena🇪🇸
We introduce a new approach to analyze the phase diagram of QCD at finite chemical potential and temperature, test it in the Gross-Neveu model at finite baryon density, and apply it to the study of the chemical potential-temperature phase diagram of QCD with four degenerate flavors of Kogut-Susskind type.
Vicente Azcoiti🇪🇸 · Giuseppe Di Carlo🇮🇹 · Angelo Galante🇮🇹 · Victor Laliena🇪🇸
We introduce a new approach to analyze the phase diagram of QCD at finite chemical potential and temperature, based on the definition of a generalized QCD action. Several details of the method will be discussed, with particular emphasis on the advantages respect to the imaginary chemical potential approach.
Vicente Azcoiti🇪🇸 · Giuseppe Di Carlo🇮🇹 · Angelo Galante🇮🇹 · Victor Laliena🇪🇸
The phenomenon of diquark condensation at non-zero baryon density and zero temperature is analyzed in the strong coupling limit of lattice QCD. The results indicate that there is attraction in the quark-quark channel also at strong coupling, and that the attraction is more effective at high baryon density, but for infinite coupling it is not enough to produce diquark condensation. It is argued that the absence of diquark condensation is not a peculiarity of the strong coupling limit, but persists at sufficiently large finite couplings.
V. Azcoiti🇪🇸 · G. Di Carlo🇮🇹 · A. Galante🇮🇹 · V. Laliena🇪🇸
A new approach for non zero chemical potential simulations is tested in the Gross-Neveu model for infinite flavor number, where the critical line is reconstructed in a large interval. A comparison with results from standard imaginary chemical potential approach as well as first results for QCD are presented.
M. Göckeler🇩🇪 · R. Horsley🇬🇧 · A.C. Irving🇬🇧 · D. Pleiter🇩🇪 · P.E.L. Rakow🇬🇧 · G. Schierholz🇩🇪 · H. Stüben🇩🇪
We compute the light and strange quark masses m_l = (m_u+m_d)/2 and m_s, respectively, in full lattice QCD with N_f=2 flavors of light dynamical quarks. The renormalization constants, which convert bare quark masses into renormalized quark masses, are computed nonperturbatively, including the effect of quark-line disconnected diagrams. We obtain m_l=4.7(2)(3) MeV and m_s=119(5)(8) MeV in the MSbar scheme at the scale 2 GeV.
* 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.