Volume dependence of the energy spectrum in massive quantum field theories. Pt. 1 Stable particle states

SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

A portable high-quality random number generator for lattice field theory simulations

The theory underlying a proposed random number generator for numerical simulations in elementary particle physics and statistical mechanics is discussed. The generator is based on an algorithm introduced by Marsaglia and Zaman, with an important added feature leading to demonstrably good statistical properties. It can be implemented exactly on any computer complying with the IEEE-754 standard for single precision floating point arithmetic. (orig.)SIGLEAvailable from TIB Hannover: RA 2999(93-133) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Signatures of unstable particles in finite volume

SIGLEAvailable from TIB Hannover: RA 2999(91-052) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

A new approach to the problem of dynamical quarks in numerical simulations of lattice QCD

Lattice QCD with an even number of degenerate quark flavours is shown to be a limit of a local bosonic field theory. The action of the bosonic theory is real and bounded from below so that standard simulation algorithms can be expected to apply. The feasibility of such calculations is discussed, but no practical tests have yet been made. (orig.)Available from TIB Hannover: RA 2999(93-148) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Advanced lattice QCD

The continuum limit and non-perturbative renormalization are the main themes of the lectures. In both areas significant progress has been made in the past few years. Chiral symmetry plays an important role in some of these developments and the way in which this symmetry is realized on the lattice is hence also discussed. Another item which is given considerable weight are finite-size techniques. (orig.)Available from TIB Hannover: RA 2999(98-017) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation

It is shown that the Ginsparg-Wilson relation implies an exact symmetry of the fermion action, which may be regarded as a lattice form of an infinitesimal chiral rotation. Using this result it is straightforward to construct lattice Yukawa models with unbroken flavour and chiral symmetries and no doubling of the fermion spectrum. A contradiction with the Nielsen-Ninomiya theorem is avoided, because the chiral symmetry is realized in a different way than has been assumed when proving the theorem. (orig.)Available from TIB Hannover: RA 2999(98-014) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Volume dependence of the energy spectrum in massive quantum field theories. Pt. 2 Scattering states

SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Topology and the axial anomaly in abelian lattice gauge theories

The axial anomaly in abelian lattice gauge theories is shown to be equal to a simple quadratic expression in the gauge field tensor plus a removable divergence term if the lattice Dirac operator satisfies the Ginsparg-Wilson relation. The theorem is a consequence of the locality, the gauge invariance and the topological nature of the anomaly and does not refer to any other properties of the lattice theory. (orig.)Available from TIB Hannover: RA 2999(98-095) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Symmetry breaking aspects of the roughening transition in gauge theories

SIGLEDEGerman

On a relation between finite size effects and elastic scattering processes

SIGLECopy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman