19 v 1 1 1 O ct 1 99 6 Coulomb Effect on φ → K + K − Invariant Mass

ar X iv : h ep - p h / 99 10 34 5 v 1 1 4 O ct 1 99 9 Quark mass effects to σ ( e + e − →

/ 92 09 05 6 v 2 7 O ct 1 99 2 Tree Amplitudes in Noncritical

Recent results for tree amplitudes for the N = 2 noncritical strings are presented and compared with the critical case. Arguments are given which indicate a certain discontinuity in passing from thê c < 1 model (in a Coulomb gas representation) to thê c = 1 critical case.

v 1 2 6 O ct 1 99 8 The Reaction pp → ppφ and the Validity of the OZI Rule ∗

The reaction pp → ppφ is investigated within a relativistic mesonexchange model of hadronic interactions. The possibility of extracting the NNφ coupling constant from a study of this process is explored. A combined analysis of ω− and φ-meson production in proton-proton collisions utilizing recent data on these reactions is carried out and yields values for gNNφ that are compatible with the OZI ...

ar X iv : h ep - t h / 94 05 01 6 v 2 1 9 O ct 1 99 4 QMW 94 - 9 hep - th / 9405016 Perturbed

We discuss a new type of unitary perturbations around conformal theories inspired by the σ-model perturbation of the nonunitary WZNW model. We show that the nonunitary level k WZNW model perturbed by its sigma model term goes to the unitary level −k WZNW model. When plugged into the gauged WZNW model the given perturbation results in the perturbed gauged WZNW model which no longer describes a c...

ar X iv : m at h / 99 10 16 0 v 1 [ m at h . FA ] 2 8 O ct 1 99 9 POLYNOMIAL APPROXIMATION ON CONVEX SUBSETS OF

Let K be a closed bounded convex subset of R; then by a result of the first author, which extends a classical theorem of Whitney there is a constant wm(K) so that for every continuous function f on K there is a polynomial φ of degree at most m− 1 so that |f(x)− φ(x)| ≤ wm(K) sup x,x+mh∈K |∆h (f ;x)|. The aim of this paper is to study the constant wm(K) in terms of the dimension n and the geomet...