Topology and Low Lying Fermion Modes
Recent results concerning the relation of topology and low-lying fermion modes are summarized.
HEP Lattice·hep-lat
6 papers—5 primary·1 cross-listed·reconstructed*
Recent results concerning the relation of topology and low-lying fermion modes are summarized.
Sinead Ryan (Trinity College, Dublin)🇮🇪
I review the current status of lattice calculations of heavy quark quantities. Particular emphasis is placed on leptonic and semileptonic decay matrix elements.
We present recent results from the UKQCD collaboration's dynamical QCD simulations. This data has fixed lattice spacing but varying dynamical quark mass. We concentrate on searching for an unquenching signal in the mesonic mass spectrum where we do not find a significant effect at the quark masses considered.
S. Capitani🇩🇪 · M. Gockeler🇩🇪 · R. Horsley🇩🇪 · D. Pleiter🇩🇪 · P. Rakow🇩🇪 · H. Stuben🇩🇪 · G. Schierholz🇩🇪
Using unimproved and non-perturbatively O(a) improved Wilson fermions, results are given for the three lowest moments of unpolarised nucleon structure functions. Renormalisation, chiral extrapolation and the continuum limit of the matrix elements are briefly discussed. The simulations are performed for both quenched and two flavours of unquenched fermions. No obvious sign of deviation from linearity in the chiral extrapolations are found. (This is most clearly seen in our quenched unimproved data, which extends to lighter quark mass.) Possible quenching effects also seem to be small. The lowest moment thus remains too large, so it seems to be necessary to reach smaller quark masses in numerical simulations.
X. Liao🇺🇸
We have studied the 3-flavor, finite temperature, QCD phase transition with staggred fermions on an lattice. By studying a variety of quark masses we have located the critical point, , where the first order 3-flavor transition ends as lying in the region in lattice units
D.T. Son🇺🇸 · M.A. Stephanov🇺🇸
We point out that, in analogy with spin waves in antiferromagnets, all parameters describing the real-time propagation of soft pions at temperatures below the QCD chiral phase transition can be expressed in terms of static correlators. This allows, in principle, the determination of the soft pion dispersion relation on the lattice. Using scaling and universality arguments, we determine the critical behavior of the parameters of pion propagation. We predict that when the critical temperature is approached from below, the pole mass of the pion drops despite the growth of the pion screening mass. This fact is attributed to the decrease of the pion velocity near the phase transition.
* 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.