June 1, 2011

Holonomy paper (vol.4) submitted to arXiv

Recent studies reveal that gluon amplitudes at loop level can be expressed in terms of polylogarithms. In this paper, we develop a calculatory method for one-loop amplitudes in the framework of holonomy formalism. We show that the one-loop amplitudes are naturally described by a set of polylogarithms via a conventional functional method. This is an interesting result, providing a new perspective to a regularization program, an indispensable part of the quantum field theory. For details, please see the paper here.