ar X iv : h ep - t h / 97 10 06 1 v 1 7 O ct 1 99 7 RENORMALIZED CONTACT POTENTIAL IN TWO DIMENSIONS

ar X iv : h ep - p h / 97 10 24 9 v 1 6 O ct 1 99 7 HADRONIC PHYSICS FROM THE LATTICE

ar X iv : h ep - p h / 97 10 22 9 v 1 2 O ct 1 99 7 SLAC - PUB - 7663 October 1997 Z ′ INVESTIGATIONS AT FUTURE LEPTON

ar X iv : h ep - t h / 97 10 06 4 v 1 7 O ct 1 99 7

In this work we study the recently introduced octonionic duality for membranes. Restricting the self-duality equations to seven space dimensions, we provide various forms for them which exhibit the symmetries of the octonionic and quaternionic structure. These forms may turn to be useful for the question of the integrability of this system. Introducing a consistent quadratic Poisson algebra of ...

ar X iv : h ep - p h / 97 02 24 5 v 2 1 7 O ct 1 99 7 The Static Potential in QCD – a full Two - Loop Calculation ∗

A full analytic calculation of the two-loop diagrams contributing to the static potential in QCD is presented in detail. Using a renormalization group improvement, the “three-loop” potential in momentum space is thus derived and the third coefficient of the β-function for the V -scheme is given. The Fourier transformation to position space is then performed, and the result is briefly discussed.

ar X iv : h ep - t h / 97 10 01 2 v 1 2 O ct 1 99 7 Nontopological structures in the baby - Skyrme model

We report our observations that the baby-Skyrme model in (2+1) dimensions possesses non-topological stationary solutions which we call psedo-breathers. We discuss their properties and present our results on their interaction with the topological skyrmions.