ar X iv : h ep - t h / 03 12 30 4 v 2 1 4 M ay 2 00 4 Quantum Electrodynamics on Background External Fields

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 / 04 05 21 1 v 1 2 4 M ay 2 00 4 COVARIANCE OF TIME - ORDERED PRODUCTS IMPLIES LOCAL COMMUTATIVITY OF FIELDS

We formulate Lorentz covariance of a quantum field theory in terms of covariance of time-ordered products (or other Green's functions). This formulation of Lorentz covariance implies spacelike local commutativity or anticom-mutativity of fields, sometimes called microscopic causality or microcausality. With this formulation microcausality does not have to be taken as a separate assumption.

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 15 4 v 1 1 9 M ay 2 00 3 Casimir effect in kappa deformed electrodynamics

We consider the quantization of a scalar κ-deformed field up to the point of obtaining an expression for its vacuum energy. The expression is given by the half sum of the field frequencies, as in the nondeformed case, but with the frequencies obeying the κ-deformed dispersion relation. We consider a set of κ-deformed Maxwell equations and show that for the purpose of calculating the Casimir ene...

ar X iv : h ep - t h / 03 12 24 4 v 1 1 9 D ec 2 00 3 FIAN / TD / 07 – 03 On Sp ( 2 M ) Invariant Green Functions

Explicit form of two-point and three-point Sp (2M) invariant Green functions is found.