The pi-N Sigma term - an evaluation using staggered fermions
A lattice calculation of the pi-N sigma term is described using dynamical staggered fermions. Preliminary results give a sea term comparable in magnitude to the valence term.
hep-lat↗
arXiv subjects
G. Schierholz
Publications and source records attributed to G. Schierholz.
The ``Spin'' Structure of the Nucleon - a lattice investigation
We will discuss here an indirect lattice evaluation of the baryon axial singlet current matrix element. This quantity may be related to the fraction of nucleon spin carried by the quarks. The appropriate structure function has recently been measured (EMC experiment). As in this experiment, we find that the quarks do not appear to carry a large component of the nucleon spin.
hep-lat↗
The pi-N Sigma term - a lattice investigation
A lattice calculation of the pi-N sigma term is described using dynamical staggered fermions. Preliminary results give a sea term comparable in magnitude to the valence term.
hep-lat↗
Is the Chiral Phase Transition in Non-Compact Lattice QED Driven by Monopole Condensation?
We investigate the recent conjecture that the chiral phase transition in non-compact lattice QED is driven by monopole condensation. The comparison of analytic and numerical results shows that we have a quantitative understanding of monopoles in both the quenched and dynamical cases. We can rule out monopole condensation.
hep-lat↗
The Spin Content of the Nucleon
The fraction of the nucleon spin that is carried by the quarks, $ΔΣ$, is computed in lattice QCD with dynamical staggered fermions. We obtain the value $ΔΣ= 0.18 \pm 0.02$.
hep-lat↗
A method for putting chiral fermions on the lattice
We describe a method to put chiral gauge theories on the lattice. Our method makes heavy use of the effective action for chiral fermions in the continuum, which is in general complex. As an example we discuss the chiral Schwinger model.
hep-lat↗
Renormalisation of lattice currents and the calculation of decay constants for dynamical staggered fermions
A numerical calculation of the lattice staggered renormalisation constants at $β= 5.35$, $m = 0.01$ is presented. It is seen that there are considerable non-perturbative effects present. As an application the vector decay constant $f_ρ$ is estimated. (LAT92 contribution, one LATEX file with 3 postscript figures appended.)
hep-lat↗
Continuum Gauge Fields from Lattice Gauge Fields
On the lattice some of the salient features of pure gauge theories and of gauge theories with fermions in complex representations of the gauge group seem to be lost. These features can be recovered by considering part of the theory in the continuum. The prerequisite for that is the construction of continuum gauge fields from lattice gauge fields. Such a construction, which is gauge covariant and complies with geometrical constructions of the topological charge on the lattice, is given in this paper. The procedure is explicitly carried out in the $U(1)$ theory in two dimensions, where it leads to simple results.
hep-lat↗
A Proposal for Simulating Chiral Fermions
We describe a method for evaluating chiral gauge theories that is not plagued by the doubling problem. To demonstrate the efficiency of the approach, we apply our ideas to the chiral Schwinger model.
hep-lat↗