28852253
Dealing with truncation in Monte Carlo renormalization-group calculations.
On utilise le modele d'Ising d=2 comme exemple concret pour montrer que la troncature de la matrice T derivee au sous-espace S des interactions a courte portee n'a pas besoin de justification
121903104
Simulating QCD with dynamical Wilson and staggered fermions
Abstract I present a summary of the work done during the last year by the Los Alamos lattice collaboration (C. Baillie, R. Gupta, G. Kilcup, G. Guralnik, A. Patel and S. Sharpe) to study QCD with the Hybrid Monte Carlo Algorithm. The specific questions we have addressed are the finite temperature transition for both staggered and Wilson fermions and screening in the heavy q q potential with Wilson fermions. I also present a discussion of the efficiency of the fermion update algorithm.
122633786
Monte Carlo Renormalization Group: A Review
The logic and the methods of Monte Carlo Renormalization Group (MCRG) are reviewed. A status report of results for 4-dimensional lattice gauge theories derived using MCRG is presented. Existing methods for calculating the improved action are reviewed and evaluated. The Gupta-Cordery improved MCRG method is described and compared with the standard one.
18442234
Comparison of Inversion Algorithms for Wilson Fermions on the CM5
This talk presents results of a comparitive study of iterative algorithms like minimal residue ($MR$) and conjugate gradient ($CG$, $BiCG\gamma_5$, and \bicgstab) used for inverting the Dirac matrix $M$. The tests were done on the Connection Machine CM-5 using $32^3 \times 64$ lattices. The fermion action used is of Wilson type, both with and without the clover term. The overall conclusion is that preconditioned over-relaxed $MR$ is the simplest, uses the least memory, and is comparable in performance to \bicgstab. We find these two algorithms to be equally robust, $i.e.$ insensitive to the starting solution and to round-off errors.
15540297
Chiral limit of QCD
This talk contains an analysis of quenched chiral perturbation theory and its consequences. The chiral behavior of a number of quantities such as the pion mass m{sub pi}{sup 2}, the Bernard-Golterman ratios R and {sub X}, the masses of nucleons, and the kaon B-parameter are examined to see if the singular terms induced by the additional Goldstone boson, {eta}{prime}, are visible in present data. The overall conclusion (different from that presented at the lattice meeting) of this analysis is that even though there are some caveats attached to the indications of the extra terms induced by {eta}{prime} loops, the standard expressions break down when extrapolating the quenched data with m{sub q} < m{sub s}/2 to physical light quarks. I then show that due to the single and double poles in the quenched {eta}{prime}, the axial charge of the proton cannot be calculated using the Adler-Bell-Jackiw anomaly condition. I conclude with a review of the status of the calculation of light quark masses from lattice QCD.
124910471
Monte Carlo Renormalization Group for SU(2) Lattice Gauge Theory
We present the results of a Monte Carlo renormalization group calculation using the ..sqrt..3 block transformation introduced by Cordery, Gupta, and Novotny. The ..beta.. function for the SU(2) lattice gauge theory is calculated both along the Wilson axis and along the line K/sub A/ = -0.24K/sub F/ in the fundamental-adjoint plane.
8554087
An episode of ultrahigh energy radiation from the gamma -ray source Geminga: GRAPES I observations at Ooty during 1984-1987.
A study of showers arriving from the direction of the γ-ray source Geminga (1E0630 + 178) has shown evidence for emission of ultrahigh energy radiation during the one week interval October 10-16, 1986. 83 showers were observed in the source bin as against an expected background of 44.1. The probability of observing this excess based on Monte Carlo simulations is less than 10 −4 . The flux observed during this period (1.00±0.24)×10 −11 cm −2 s −1 at energies ≥10 14 eV corresponds to a time-averaged luminosity of 6×10 32 erg s −1
40514876
Hadronic correlation functions in the QCD plasma phase.
We present results for static hadronic correlation functions in the high-temperature phase of QCD with four flavors of dynamical quarks. We confirm chiral-symmetry restoration through the degeneracies of the spectrum of screening lengths. We also find that the screening lengths for the {rho} and {ital N} channels at {ital T}{approx gt}1.2{ital T}{sub {ital c}} are close to that in a free quark gas.
1943581
Quark confinement in quantum chromodynamics.
A quark-confinement mechanism inspired by renormalization-group-improved perturbative quantum chromodynamics is proposed. We obtain a quark-antiquark confining potential in the lowest approximation, show that it yields reasonable results for the bb-bar and cc-bar spin-averaged energy levels, and comment on the significance of the higher-order effects.
10011120
Bc spectroscopy in a quantum-chromodynamic potential model.
We have investigated {ital B}{sub {ital c}} spectroscopy with the use of a quantum-chromodynamic potential model which was recently used by us for the light-heavy quarkonia. We give our predictions for the energy levels and the {ital E}1 transition widths. We also find, rather surprisingly, that although {ital B}{sub {ital c}} is not a light-heavy system, the heavy quark effective theory with the inclusion of the {ital m}{sub {ital b}}{sup -}{sup 1} and {ital m}{sub {ital b}}{sup -}{sup 1}ln{ital m}{sub {ital b}} corrections is as successful for {ital B}{sub {ital c}} as it is for {ital B} and {ital B}{sub {ital s}}. {copyright} {ital 1995 The American Physical Society.}
43411058
Semirelativistic potential model for heavy quarkonia.
The c-italicc-bar, b-italicb-bar, and t-italic t-italic-bar spectra are investigated with the use of a semirelativistic potential model described in an earlier paper. Results for the energy levels, leptonic widths, and E-italic1 transition widths are compared with the experimental data for c-italicc-bar and b-italicb-bar and predicted for t-italic t-italic-bar. We also find that the quark-antiquark interaction can best be described by a quasistatic rather than a momentum-dependent potential, and propose a theoretical justification for this surprising conclusion.