ar X iv : p at t - so l / 9 91 10 08 v 1 2 5 N ov 1 99 9 Kink dynamics in a novel discrete sine - Gordon system

X iv : p at t - so l / 9 91 10 02 v 1 2 N ov 1 99 9 Instanton solutions in the problem of wrinkled flame fronts dynamics

The statistics of wrinkling flame front is investigated by the quantum field theory methods. We dwell on the WKB approximation in the functional integral which is analogous to the Wyld functional integral in turbulence. The main contribution to statistics is due to a coupled field-force configuration. This configuration is related to a kink between metastable exact pole solutions of the Syvashi...

ar X iv : h ep - t h / 98 11 08 5 v 1 9 N ov 1 99 8 Vortex Solutions in the Chern - Simons Stuekelberg Model

ar X iv : h ep - l at / 9 91 10 16 v 1 1 2 N ov 1 99 9 1 Future Perspectives in Lattice Field Theory ∗

I review some of the contributions which lattice simulations are likely to make during the next five years or so to the development of our understanding of particle physics. Particular emphasis is given to the evaluation of non-perturbative QCD effects in experimentally measurable amplitudes, and the corresponding extraction of fundamental parameters.

ar X iv : p at t - so l / 9 70 30 05 v 1 1 7 M ar 1 99 7 A discrete φ 4 system without Peierls - Nabarro barrier

A discrete φ 4 system is proposed which preserves the topological lower bound on the kink energy. Existence of static kink solutions saturating this lower bound and occupying any position relative to the lattice is proved. Consequently, kinks of the model experience no Peierls-Nabarro barrier, and can move freely through the lattice without being pinned. Numerical simulations reveal that kink d...

ar X iv : h ep - l at / 9 91 10 04 v 1 4 N ov 1 99 9 RUHN - 99 – 4 Bounds on

New exact upper and lower bounds are derived on the spectrum of the square of the hermitian Wilson Dirac operator. It is hoped that the derivations and the results will be of help in the search for ways to reduce the cost of simulations using the overlap Dirac operator.