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

We present a pedagogical introduction to SU(2) recoupling theory, focusing on those aspects of the topic which are useful for practical calculations in loop quantum gravity. In particular, we give a self-contained presentation of the powerful graphical formalism, which is an indispensable tool for performing computations in the spin network basis of loop quantum gravity. The use of the graphical techniques in loop quantum gravity is illustrated by several detailed example cal...

This paper has been withdrawn to address an omission. It will be resubmitted in the near future.

The paper was withdrawn by the author. Further research is needed.

aITALC, a new tool for automating loop calculations in high energy physics, is described. The package creates Fortran code for two-fermion scattering processes automatically, starting from the generation and analysis of the Feynman graphs. We describe the modules of the tool, the intercommunication between them and illustrate its use with three examples.

This paper has been withdrawn.

Paper withdrawn. The argument was based on a misconception

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper has been withdrawn by the authors due to an incorrect analysis.

The paper is withdrawn by the author due to an oversimplified and misleading approach which was taken initially as a starting point.

This paper has been withdrawn because it has been by far superseded by the Author's post arXiv:1108.1306v6, which was published on 30/08/2011.