ar X iv : m at h - ph / 9 90 20 02 v 1 1 F eb 1 99 9 Existence of the Solution for the ’ t Hooft - Polyakov Monopole

ar X iv : m at h - ph / 9 90 20 07 v 1 4 F eb 1 99 9 Periodic instantons and the loop group

We construct a large class of periodic instantons. Conjecturally we produce all periodic instantons. This confirms a conjecture of Garland and Murray that relates periodic instantons to orbits of the loop group acting on an extension of its Lie algebra. AMS classification: 81T13, 53C07, 55P10

ar X iv : h ep - t h / 96 12 17 5 v 3 1 9 M ar 1 99 7 Induced Gauge Structure of Quantum Mechanics on S

The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on S D embedded in R D+1 is investigated. Generators satisfying the O-K algebra are written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that there exists an induced gauge configuration which is trivial on S D but might cause a nontrivial physical ...

ar X iv : h ep - t h / 99 02 02 7 v 1 3 F eb 1 99 9 INFRARED REGION OF QCD AND CONFINEMENT

Gauge field configurations appropriate for the infrared region of QCD is proposed. Using the usual QCD action, confinement is realized as in the London theory of Meissner effect.

ar X iv : a st ro - p h / 99 02 06 2 v 1 4 F eb 1 99 9 SOURCES OF RELATIVISTIC JETS IN THE GALAXY

ar X iv : m at h / 98 02 04 5 v 1 [ m at h . PR ] 9 F eb 1 99 8 STOCHASTIC BIFURCATION MODELS

We study an ordinary differential equation controlled by a stochastic process. We present results on existence and uniqueness of solutions, on associated local times (Trot-ter and Ray-Knight theorems), and on time and direction of bifurcation. A relationship with Lipschitz approximations to Brownian paths is also discussed.