Prog. Theor. Phys. Vol. 103 No. 5 (2000) pp. 1011-1019
The Light-Cone Gauge without Prescriptions
Instituto de Física Teórica, Universidade Estadual Paulista,
R. Pamplona, 145
São Paulo - SP CEP 01405-900 Brazil
(Received June 30, 1999)
Feynman integrals in the physical light-cone gauge are more difficult to solve than
their covariant counterparts. The difficulty is associated with the presence of
unphysical singularities due to the inherent residual gauge freedom in the
intermediate boson propagators constrained within this gauge choice. In order
to circumvent these non-physical singularities, the headlong approach has
always been to call for mathematical devices – prescriptions – some
successful and others not. A more elegant approach is to
consider the propagator from its physical point of view, that is, an object
obeying basic principles such as causality. Once this fact is realized and
carefully taken into account, the crutch of prescriptions can be avoided
altogether. An alternative, third approach, which for practical computations
could dispense with prescriptions as well as avoiding the necessity of
careful stepwise consideration of causality, would be of great advantage. And
this third option is realizable within the context of negative dimensions, or
as it has been coined, the negative dimensional integration method (NDIM).
DOI : 10.1143/PTP.103.1011
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