Finite Temperature QCD on Anisotropic Lattices

We present results for mesonic propagators in temporal and spatial direction and for topological properties at T below and above the deconfining transition in quenched QCD. We use anisotropic lattices and Wilson fermions.Comment: 6 pages, 7 figures, Talk given at 16th International Symposium on Lattice Field Theory (LATTICE 98(hightemp)) , Boulder, CO, 13-18 Jul 1998. (Replaced: Fig.4 corrected, further minor modifications in legends and text.

A Study of Meson Correlators at Finite Temperature

We present results for mesonic propagators in temporal and spatial directions at T below and above the deconfining transition in quenched QCD. Anisotropic lattices are used to get enough information in the temporal direction. We use the Wilson fermion action for light quarks and Fermilab action for heavy quarks.Comment: LATTICE 99 (finite temperature and density), 3 pages, LaTeX with 3 eps figures, espcrc2.sty, psfig.st

Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD

We report results on a lattice calculation of the heavy-light meson decay constant employing the non-relativistic QCD approach for heavy quark and Wilson action for light quark. Simulations are carried out at $\beta=6.0$ on a $16^3\times 48$ lattice. Signal to noise ratio for the ground state is significantly improved compared to simulations in the static approximation, enabling us to extract the decay constant reliably. We compute the heavy-light decay constant for several values of heavy quark mass and estimate the magnitude of the deviation from the heavy mass scaling law $f_{P} \sqrt{m_{P}} = const$. For the $B$ meson we find $f_{B} = 171\pm 22^{+19}_{-45}$ MeV, while an extrapolation to the static limit yields $f_{B}^{static}$ = $297\pm 36^{+15}_{-30}$ MeV.Comment: 34 pages in LaTeX including 10 figures using epsf.sty, uuencoded-gziped-shar format, HUPD-940

Systematic study of autocorrelation time in pure SU(3) lattice gauge theory

Results of our autocorrelation measurement performed on Fujitsu AP1000 are reported. We analyze (i) typical autocorrelation time, (ii) optimal mixing ratio between overrelaxation and pseudo-heatbath and (iii) critical behavior of autocorrelation time around cross-over region with high statistic in wide range of $\beta$ for pure SU(3) lattice gauge theory on $8^4$, $16^4$ and $32^4$ lattices. For the mixing ratio K, small value (3-7) looks optimal in the confined region, and reduces the integrated autocorrelation time by a factor 2-4 compared to the pseudo-heatbath. On the other hand in the deconfined phase, correlation times are short, and overrelaxation does not seem to matter For a fixed value of K(=9 in this paper), the dynamical exponent of overrelaxation is consistent with 2 Autocorrelation measurement of the topological charge on $32^3 \times 64$ lattice at $\beta$ = 6.0 is also briefly mentioned.Comment: 3 pages of A4 format including 7-figure

Effects of Chemical Potential on Hadron Masses at Finite Temperature

We study the effects of the chemical potential on the $\rho$ meson mass at finite temperature. Our preliminary results show that some effects are seen in the vicinity of the phase transition point. Although the signal is still too noisy to obtain conclusive physical results within limited statistics, the mass susceptibility is consistent with zero.Comment: LATTICE98(hightemp), 3 page

Effects of Chemical Potential on Hadron Masses in the Phase Transition Region

We study the response of hadron masses with respect to chemical potential at $\mu=0$. Our preliminary results of the pion channel show that $\partial m/\partial \mu$ in the confinement phase is significantly larger than that in the deconfinement phase, which is consistent with the chiral restoration.Comment: LATTICE99 (finite temperature and density), 3 pages, 3 figure

f_B with lattice NRQCD including O(1/m_Q^2) corrections

We calculate the heavy-light meson decay constant using lattice NRQCD action for the heavy quark and Wilson quark action for the light quark over a wide range in the heavy quark mass. Simulations are carried out on a 16^3 x 32 lattice with 120 quenched gauge configurations generated with the plaquette action at beta=5.8. For the heavy quark part of the calculation, two sets of lattice NRQCD action and current operator are employed. The first set includes terms up to O(1/m_Q) both in the action and the current operator, and the second set up to O(1/m_Q^2), where m_Q is the bare mass of the heavy quark. Tree-level values with tadpole improvement are employed for the coefficients in the expansion. We compare the results obtained from the two sets in detail and find that the truncation error of higher order relativistic corrections for the decay constant are adequately small around the mass of the b quark. We also calculate the 1S hyperfine splitting of B meson, M_{B_s} - M_B and f_{B_s}/f_B with both sets and find that the 1/m_Q^2 corrections are negligible. Remaining systematic errors and the limitation of NRQCD theory are discussed.Comment: 27 pages, 15 figures, RevTex, psfig.sty require

Autocorrelation in Updating Pure SU(3) Lattice Gauge Theory by the use of Overrelaxed Algorithms

We measure the sweep-to-sweep autocorrelations of blocked loops below and above the deconfinement transition for SU(3) on a $16^4$ lattice using 20000-140000 Monte-Carlo updating sweeps. A divergence of the autocorrelation time toward the critical $\beta$ is seen at high blocking levels. The peak is near $\beta$ = 6.33 where we observe 440 $\pm$ 210 for the autocorrelation time of $1\times 1$ Wilson loop on $2^4$ blocked lattice. The mixing of 7 Brown-Woch overrelaxation steps followed by one pseudo-heat-bath step appears optimal to reduce the autocorrelation time below the critical $\beta$. Above the critical $\beta$, however, no clear difference between these two algorithms can be seen and the system decorrelates rather fast.Comment: 4 pages of A4 format including 6-figure