ar X iv : h ep - t h / 03 05 03 7 v 1 5 M ay 2 00 3 FORMS ON VECTOR BUNDLES OVER COMPACT REAL HYPERBOLIC MANIFOLDS

ar X iv : h ep - t h / 03 05 03 7 v 2 3 0 M ay 2 00 3 FORMS ON VECTOR BUNDLES OVER COMPACT REAL HYPERBOLIC MANIFOLDS

We study gauge theories based on abelian p− forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.

ar X iv : h ep - p h / 04 05 03 9 v 1 5 M ay 2 00 4 η , η ′ → π + π − γ with coupled channels

ar X iv : h ep - t h / 03 05 16 7 v 1 2 0 M ay 2 00 3 Wavelet based regularization for Euclidean field theory ∗

It is shown that Euclidean field theory with polynomial interaction , can be regularized using the wavelet representation of the fields. The connections between wavelet based regularization and stochastic quantization are considered.

ar X iv : h ep - t h / 03 05 14 3 v 1 1 6 M ay 2 00 3 Krein structure of supersymmetry

We present supersymmetric positive definite scalar products together with natural Krein structures of supersymmetries.

ar X iv : h ep - p h / 03 05 16 5 v 1 1 5 M ay 2 00 3 The rise and fall of F 2 at low x

A short personal account is given of the impact of HERA data and the influence of Jan Kwiecinski on low x physics.