Feynman integrals with tensorial structure in the negative dimensional integration scheme |
| |
Authors: | AT Suzuki AGM Schmidt |
| |
Institution: | (1) Universidade Estadual Paulista – Instituto de Física Teórica, R.Pamplona, 145, S ao Paulo SP CEP 01405-900, Brazil , BR |
| |
Abstract: | The negative-dimensional integration method (NDIM) is revealing itself as a very useful technique for computing massless
and/or massive Feynman integrals, covariant and noncovariant alike. Up until now, however, the illustrative calculations done
using such method have been mostly covariant scalar integrals, without numerator factors. We show here how those integrals
with tensorial structures also can be handled straightforwardly and easily. However, contrary to the absence of significant
features in the usual approach, here the NDIM also allows us to come across surprising unsuspected bonuses. Toward this end,
we present two alternative ways of working out the integrals and illustrate them by taking the easiest Feynman integrals in
this category that emerge in the computation of a standard one-loop self-energy diagram. One of the novel and heretofore unsuspected
bonuses is that there are degeneracies in the way one can express the final result for the referred Feynman integral.
Received: 3 November 1998 /Published online: 3 August 1999 |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|