--- title: "Causality and Dispersion Relations and the Role of the S-matrix in the Ongoing Research • CBPF Index" description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbb33e" locale: es meta: "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Causality%2Band%2BDispersion%2BRelations%2Band%2Bthe%2BRole%2Bof%2Bthe%2BS-matrix%2Bin%2Bthe%2BOngoing%2BResearch%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_Bert%2BSchroer%2Cdetalhe_~MjgvMDIvMjAxMQ%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIzM2Ui%2Cs_DLfS4WrW_gRhaRz9.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Causality and Dispersion Relations and the Role of the S-matrix in the Ongoing Research • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_Causality%2Band%2BDispersion%2BRelations%2Band%2Bthe%2BRole%2Bof%2Bthe%2BS-matrix%2Bin%2Bthe%2BOngoing%2BResearch%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_Bert%2BSchroer%2Cdetalhe_~MjgvMDIvMjAxMQ%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmIzM2Ui%2Cs_DLfS4WrW_gRhaRz9.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Causality and Dispersion Relations and the Role of the S-matrix in the Ongoing Research** **Bert Schroer** 28/02/2011 [**Descargar PDF **0,2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb33e/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Causality%20and%20Dispersion%20Relations%20and%20the%20Role%20of%20the%20S-matrix%20in%20the%20Ongoing%20Research) ## **Datos de la publicación**
Autores
Bert Schroer
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
28/02/2011
Descripción
The adaptation of the Kramers-Kronig dispersion relations to the causal localization structure of QFT led to an important project in particle physics, the only one with a successful closure. The same cannot be said about the subsequent attempts to formulate particle physics as a pure S-matrix project. The feasibility of a pure S-matrix approach are critically analyzed and their serious shortcomings are highlighted. Whereas the conceptual/mathematical demands of renormalized perturbation theory are modest and misunderstandings could easily be corrected, the correct understanding about the origin of the crossing property demands the use of the mathematical theory of modular localization and its relation to the thermal KMS condition. These concepts which combine localization, vacuum polarization and thermal properties under the roof of modular theory will be explained and their use in a new constructive (nonperturbative) approach to QFT will be indicated. The S-matrix still plays a predominant role, but different from Heisenberg's and Mandelstam's proposals the new project is not a pure S-matrix approach.
Año
2011
Número
CBPF-NF-004/11
Vínculo con tesis
No
Vínculo con beca
No
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