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On several parameter renormalization group equations and renormalization scheme specifications
An example of the explicit realization of the full renormalization group for physical quantities is investigated. It introduces two-index beta functions beta /sub ij/(g/sub j/): (i) the first index specifying the renormalization scheme chosen (including the scale mu ); (ii) the second index specifyi...
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Lenguaje: | eng |
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1981
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Acceso en línea: | https://dx.doi.org/10.1016/0370-2693(82)90356-2 http://cds.cern.ch/record/136019 |
_version_ | 1780879897968771072 |
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author | Petermann, Andreas |
author_facet | Petermann, Andreas |
author_sort | Petermann, Andreas |
collection | CERN |
description | An example of the explicit realization of the full renormalization group for physical quantities is investigated. It introduces two-index beta functions beta /sub ij/(g/sub j/): (i) the first index specifying the renormalization scheme chosen (including the scale mu ); (ii) the second index specifying the coupling of which the appropriate beta function is the differential transformation. The treated example is presented in a 4- epsilon dimensional O(n) massless ( phi * phi )/sup 2/ theory with emphasis on the calculation of the fixed point. |
id | cern-136019 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1981 |
record_format | invenio |
spelling | cern-1360192019-09-30T06:29:59Zdoi:10.1016/0370-2693(82)90356-2http://cds.cern.ch/record/136019engPetermann, AndreasOn several parameter renormalization group equations and renormalization scheme specificationsGeneral Theoretical PhysicsAn example of the explicit realization of the full renormalization group for physical quantities is investigated. It introduces two-index beta functions beta /sub ij/(g/sub j/): (i) the first index specifying the renormalization scheme chosen (including the scale mu ); (ii) the second index specifying the coupling of which the appropriate beta function is the differential transformation. The treated example is presented in a 4- epsilon dimensional O(n) massless ( phi * phi )/sup 2/ theory with emphasis on the calculation of the fixed point.CERN-TH-3202oai:cds.cern.ch:1360191981-11-24 |
spellingShingle | General Theoretical Physics Petermann, Andreas On several parameter renormalization group equations and renormalization scheme specifications |
title | On several parameter renormalization group equations and renormalization scheme specifications |
title_full | On several parameter renormalization group equations and renormalization scheme specifications |
title_fullStr | On several parameter renormalization group equations and renormalization scheme specifications |
title_full_unstemmed | On several parameter renormalization group equations and renormalization scheme specifications |
title_short | On several parameter renormalization group equations and renormalization scheme specifications |
title_sort | on several parameter renormalization group equations and renormalization scheme specifications |
topic | General Theoretical Physics |
url | https://dx.doi.org/10.1016/0370-2693(82)90356-2 http://cds.cern.ch/record/136019 |
work_keys_str_mv | AT petermannandreas onseveralparameterrenormalizationgroupequationsandrenormalizationschemespecifications |