2-point 2-loop graph with arbitrary self-energy insertions

A computer program has been developed which generates Feynman graphs automatically for scattering and decay processes in non-Abelian gauge theory of high-energy physics. A new acceleration method is presented for both generating and eliminating graphs. This method has been shown to work quite efficiently for any order of coupling constants in any kind of theoretical model. A utility program is also available for drawing generated graphs. These programs consist of the most bas...

A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon ${1/2}(g-2)_{\mu}$. Presently we confine ourselves to a ``toy'' model with only $\mu$, $\gamma$ and a scalar particle (Higgs). The algorithm is implemented as a package of computer programs in FORM. For generating and automatically evaluating any number ...

This paper has been withdrawn by the author.

We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are renormalizable by local counterterms. This provides a strong support for the renormalizability conjecture of that model.

This manuscript has been withdrawn due to less meaning.

Recent developments in the evaluation of two-loop pseudo-observables and observables are briefly reviewed.

This paper was withdrawn by the author.

Due to a computational mistake this paper has been withdrawn.

The paper has been temporarily withdrawn.

This paper has been withdrawn by the authors because the action has already been given in hep-th/9907202.