Techniques of Distributions in Perturbative Quantum Field Theory (I) Euclidean asymptotic operation for products of singular functions
| dc.creator | Kuznetsov, A. N. | |
| dc.creator | Tkachov, F. V. | |
| dc.creator | Vlasov, V. V. | |
| dc.date | 1996-12-03 | |
| dc.date.accessioned | 2026-07-07T04:22:54Z | |
| dc.date.available | 2026-07-07T04:22:54Z | |
| dc.description | We present a systematic description of the mathematical techniques for studying multiloop Feynman diagrams which constitutes a full-fledged and inherently more powerful alternative to the BPHZ theory. The new techniques emerged as a formalization of the reasoning behind a recent series of record multiloop calculations in perturbative quantum field theory. It is based on a systematic use of the ideas and notions of the distribution theory. We identify the problem of asymptotic expansion of products of singular functions in the sense of distributions as a key problem of the theory of asymptotic expansions of multiloop Feynman diagrams. Its complete solution for the case of Euclidean Feynman diagrams (the so-called Euclidean asymptotic operation for products of singular functions) is explicitly constructed and studied. | |
| dc.description | 87 pages, Latex-2.09 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9612037 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9612037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54830 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Techniques of Distributions in Perturbative Quantum Field Theory (I) Euclidean asymptotic operation for products of singular functions | |
| dc.type | text |