37 research outputs found
Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
We investigate a recent proposal to construct chiral gauge theories on the
lattice using domain wall fermions. We restrict ourselves to the finite volume
case, in which two domain walls are present, with modes of opposite chirality
on each of them. We couple the chiral fermions on only one of the domain walls
to a gauge field. In order to preserve gauge invariance, we have to add a
scalar field, which gives rise to additional light mirror fermion and scalar
modes. We argue that in an anomaly free model these extra modes would decouple
if our model possesses a so-called strong coupling symmetric phase. However,
our numerical results indicate that such a phase most probably does not exist.
---- Note: 9 Postscript figures are appended as uuencoded compressed tar file.Comment: 27p. Latex; UCSD/PTH 93-28, Wash. U. HEP/93-6
An Economic Explanation of the Early Bank of Amsterdam, Debasement, Bills of Exchange, and the Emergence of the First Central Bank
Convergence and Gauge Dependence Properties of the Resummed One-loop Quark-Quark Scattering Amplitude in Perturbative QCD
The one-loop QCD effective charge for quark-quark scattering
is derived by diagrammatic resummation of the one-loop amplitude using an
arbitary covariant gauge. Except for the particular choice of gauge parameter
, is found to {\it increase} with increasing
physical scale, , as or . For ,
decreases with increasing and satisfies a renormalisation group equation.
Also, except for the case , convergence radii of geometric series
are found to impose upper limits on .Comment: 28 pages, 5 tables, 5 figures. v3 The one-loop amplitudes in Section
2 are recalculated using dimensional regularisation, and several errors in
the on-shell calculation of Reference[1] are pointed out. v4 one figure
removed one added. Three tables and new text in Section 5 added. Published
versio