Eur. Phys. J. C 19, 391-396
DOI: 10.1007/s100520100581
First results for the Coulomb gauge integrals using NDIM
A.T. Suzuki and A.G.M. SchmidtInstituto de Física Teórica, Universidade Estadual Paulista, R. Pamplona, 145 São Paulo -SP CEP 01405-900 Brazil
(Received: 12 May 2000 / Revised version: 28 August 2000 / Published online: 15 March 2001 -© Springer-Verlag 2001)
Abstract
The Coulomb gauge has at least two advantages over other gauge
choices in that bound states between quarks and studies of confinement
are easier to understand in this gauge. However, perturbative
calculations, namely Feynman loop integrations, are not well defined
(there are the so-called energy integrals) even within the context
of
dimensional regularization. Leibbrandt and Williams proposed
a
possible cure to such a problem by splitting the space-time dimension
into
, i.e., introducing a specific parameter
to regulate the energy integrals. The aim of our work is to apply
the negative dimensional integration method (NDIM) to the Coulomb
gauge
integrals using the recipe of split-dimension parameters and
present
complete results -finite and divergent parts -to the one-
and two-loop
level for arbitrary exponents of the propagators and dimension.
© Società Italiana di Fisica, Springer-Verlag 2001
