On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory
On the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular structure in N = 4 supersymmetric Yang-Mills theory for kernels of the effe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2006-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2006/Paper002/ |
| _version_ | 1811303616839942144 |
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| author | Gorazd Cvetic Igor Kondrashuk Ivan Schmidt |
| author_facet | Gorazd Cvetic Igor Kondrashuk Ivan Schmidt |
| author_sort | Gorazd Cvetic |
| collection | DOAJ |
| description | On the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular structure in N = 4 supersymmetric Yang-Mills theory for kernels of the effective action expressed in terms of the dressed effective fields. These dressed effective fields have been introduced in our previous papers as actual variables of the effective action. The concept of dressed effective fields naturally appears in the framework of solution to Slavnov-Taylor identity. The particularity of the structure is independence of these kernels on the ultraviolet regularization scale Λ. These kernels are functions of mutual spacetime distances and of the gauge coupling. The fact that β function in this theory vanishes is used significantly. |
| first_indexed | 2024-04-13T07:51:04Z |
| format | Article |
| id | doaj.art-44bc8717bfc4429e81df7e80f6da03d9 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-13T07:51:04Z |
| publishDate | 2006-01-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-44bc8717bfc4429e81df7e80f6da03d92022-12-22T02:55:32ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592006-01-012002On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills TheoryGorazd CveticIgor KondrashukIvan SchmidtOn the basis of the general considerations such as R-operation and Slavnov-Taylor identity we show that the effective action, being understood as Legendre transform of the logarithm of the path integral, possesses particular structure in N = 4 supersymmetric Yang-Mills theory for kernels of the effective action expressed in terms of the dressed effective fields. These dressed effective fields have been introduced in our previous papers as actual variables of the effective action. The concept of dressed effective fields naturally appears in the framework of solution to Slavnov-Taylor identity. The particularity of the structure is independence of these kernels on the ultraviolet regularization scale Λ. These kernels are functions of mutual spacetime distances and of the gauge coupling. The fact that β function in this theory vanishes is used significantly.http://www.emis.de/journals/SIGMA/2006/Paper002/R-operationgauge symmetryN = 4 supersymmetrySlavnov-Taylor identity |
| spellingShingle | Gorazd Cvetic Igor Kondrashuk Ivan Schmidt On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory Symmetry, Integrability and Geometry: Methods and Applications R-operation gauge symmetry N = 4 supersymmetry Slavnov-Taylor identity |
| title | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory |
| title_full | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory |
| title_fullStr | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory |
| title_full_unstemmed | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory |
| title_short | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory |
| title_sort | on the effective action of dressed mean fields for n 4 super yang mills theory |
| topic | R-operation gauge symmetry N = 4 supersymmetry Slavnov-Taylor identity |
| url | http://www.emis.de/journals/SIGMA/2006/Paper002/ |
| work_keys_str_mv | AT gorazdcvetic ontheeffectiveactionofdressedmeanfieldsforn4superyangmillstheory AT igorkondrashuk ontheeffectiveactionofdressedmeanfieldsforn4superyangmillstheory AT ivanschmidt ontheeffectiveactionofdressedmeanfieldsforn4superyangmillstheory |