Remarks on Defining the DLCQ of Quantum Field Theory as a Light-Like Limit
| dc.creator | Bilal, Adel | |
| dc.date | 1999-09-30 | |
| dc.date.accessioned | 2026-07-07T04:27:07Z | |
| dc.date.available | 2026-07-07T04:27:07Z | |
| dc.description | The issue of defining discrete light-cone quantization (DLCQ) in field theory as a light-like limit is investigated. This amounts to studying quantum field theory compactified on a space-like circle of vanishing radius in an appropriate kinematical setting. While this limit is unproblematic at the tree-level, it is non-trivial for loop amplitudes. In one-loop amplitudes, when the propagators are written using standard Feynman $α$-parameters we show that, generically, in the limit of vanishing radius, one of the $α$-integrals is replaced by a discrete sum and the (UV renormalized) one-loop amplitude has a finite light-like limit. This is analogous to what happens in string theory. There are however exceptions and the limit may diverge in certain theories or at higher loop order. We give a rather detailed analysis of the problems one might encounter. We show that quantum electrodynamics at one loop has a well-defined light-like limit. | |
| dc.description | 20 pages, no figures, uses phy macro (provided) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9909220 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9909220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56301 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Remarks on Defining the DLCQ of Quantum Field Theory as a Light-Like Limit | |
| dc.type | text |