ar X iv : h ep - t h / 06 05 09 6 v 1 9 M ay 2 00 6 An Étude in non - linear Dyson – Schwinger Equations ∗

ar X iv : h ep - t h / 06 05 09 6 v 2 1 1 M ay 2 00 6 An Étude in non - linear Dyson – Schwinger Equations

We show how to use the Hopf algebra structure of quantum field theory to derive nonperturbative results for the short-distance singular sector of a renormalizable quantum field theory in a simple but generic example. We discuss renormalized Green functions GR(α,L) in such circumstances which depend on a single scale L = ln q /μ and start from an expansion in the scale GR(α,L) = 1 + ∑ k γk(α)L ....

ar X iv : h ep - p h / 06 05 13 6 v 1 1 1 M ay 2 00 6 Lepton Flavor Violating τ and μ decays

ar X iv : h ep - t h / 06 05 24 6 v 1 2 5 M ay 2 00 6 Relativistic Wave Equations and Compton Scattering

The recently proposed eight-component relativistic wave equation is applied to the scattering of a photon from a free electron (Compton scattering). It is found that in spite of the considerable difference in the structure of this equation and that of Dirac the cross section is given by the Klein-Nishina formula.

ar X iv : h ep - t h / 06 05 27 4 v 1 2 8 M ay 2 00 6 hep - th / 0605274 Metric and coupling reversal in string theory

Invariance under reversing the sign of the metric G M N (x) and/or the sign of the string coupling field H Universe K contains only F1 and NS5 of IIB and Heterotic SO(32).

X iv : h ep - t h / 96 05 01 5 v 1 2 M ay 1 99 6 Critical Statistical Charge for Anyonic Superconductivity

We examine a criterion for the anyonic superconductivity at zero temperature in Abelian matter-coupled Chern-Simons gauge field theories in three dimensions. By solving the Dyson-Schwinger equations, we obtain a critical value of the statistical charge for the superconducting phase in a massless fermion-Chern-Simons model.