2019 Impact factor 4.389
Particles and Fields
Eur. Phys. J. C 12, 361-365
DOI 10.1007/s100529900229

Prescriptionless light-cone integrals

A.T. Suzuki - A.G.M. Schmidt

Instituto de Física Teórica, Universidade Estadual Paulista, R.Pamplona, 145 São Paulo - SP CEP 01405-900 Brazil

Received: 2 August 1999 / Published online: 8 December 1999

Perturbative quantum gauge field theory as seen within the perspective of physical gauge choices such as the light-cone gauge entails the emergence of troublesome poles of the type $(k\cdot n)^{-\alpha}$ in the Feynman integrals. These come from the boson field propagator, where $\alpha =
1,2,\cdots$ and $n^{\mu}$ is the external arbitrary four-vector that defines the gauge proper. This becomes an additional hurdle in the computation of Feynman diagrams, since any graph containing internal boson lines will inevitably produce integrands with denominators bearing the characteristic gauge-fixing factor. How one deals with them has been the subject of research over decades, and several prescriptions have been suggested and tried in the course of time, with failures and successes. However, a more recent development at this fronteer which applies the negative dimensional technique to compute light-cone Feynman integrals shows that we can altogether dispense with prescriptions to perform the calculations. An additional bonus comes to us attached to this new technique, in that not only it renders the light-cone prescriptionless but, by the very nature of it, it can also dispense with decomposition formulas or partial fractioning tricks used in the standard approach to separate pole products of the type $(k\cdot
n)^{-\alpha}[(k-p)\cdot n]^{-\beta}$ ( $\beta = 1,2,\cdots $). In this work we demonstrate how all this can be done.

Copyright Springer-Verlag 2000