Dimensionally continued multi-loop gauge theory
| dc.creator | Broadhurst, D. J. | |
| dc.date | 1999-09-27 | |
| dc.date.accessioned | 2026-07-07T04:27:05Z | |
| dc.date.available | 2026-07-07T04:27:05Z | |
| dc.description | A dimensionally continued background-field method makes the rationality of the 4-loop quenched QED beta function far more reasonable than had previously appeared. After 33 years of quest, dating from Rosner's discovery of 3-loop rationality, one finally sees cancellation of zeta values by the trace structure of individual diagrams. At 4-loops, diagram-by-diagram cancellation of $ζ(5)$ does not even rely on the values of integrals at d=4. Rather, it is a property of the rational functions of $d$ that multiply elements of the full d-dimensional basis. We prove a lemma: the basis consists of slices of wheels. We explain the previously mysterious suppression of $π^4$ in massless gauge theory. The 4-loop QED result $β_4=-46$ is obtained by setting d=4 in a precisely defined rational polynomial of d, with degree 11. The other 5 rational functions vanish at d=4. | |
| dc.description | 11 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9909185 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9909185 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56292 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Dimensionally continued multi-loop gauge theory | |
| dc.type | text |