Overlap fermions have an exact chiral symmetry on the lattice and are thus an
appropriate tool for investigating the chiral and topological structure of the
QCD vacuum. We study various chiral and topological aspects of quenched gauge
field configurations. This includes the localization and chiral properties of
the eigenmodes, the local structure of the ultraviolet filtered field strength
tensor, as well as the structure of topological charge fluctuations. We
conclude that the vacuum has a multifractal structure.Comment: 68 pages, 31 figures, file size: 1.7 MB (PDF
The 2-point functions of Euclidean conformal invariant quantum field theory are looked at as intertwining kernels of the conformal group. In this analysis a fundamental role is played by a ·two-element group W, whose non-identity element fR. = R•I consists of the conformal inversion R multiplied by a space-time reflection I. The propagators of conformal invariant quantum field theory are determined by the requirement of02-covariance. The importance of the at-inversion in the theory of Zeta-functions is mentioned.
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