The Light-Cone Gauge without Prescriptions

概要

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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 dispence 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).
理論物理学刊行会の論文
2000-05-25