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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146453 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory / G. Cvetic, I. Kondrashuk, I. Schmidt // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733544749531136 |
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| author | Cvetic, G. Kondrashuk, I. Schmidt, I. |
| author_facet | Cvetic, G. Kondrashuk, I. Schmidt, I. |
| citation_txt | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory / G. Cvetic, I. Kondrashuk, I. Schmidt // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T19:37:51Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146453 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:37:51Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cvetic, G. Kondrashuk, I. Schmidt, I. 2019-02-09T17:24:05Z 2019-02-09T17:24:05Z 2006 On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory / G. Cvetic, I. Kondrashuk, I. Schmidt // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 28 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q30 https://nasplib.isofts.kiev.ua/handle/123456789/146453 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. The work of I.K. was supported by Ministry of Education (Chile) under grant Mecesup FSM9901 and by DGIP UTFSM, by Fondecyt (Chile) grant #1040368, and by Departamento de Investigaci´on de Universidadad del Bio-Bio, Chillan. The work of G.C. and I.S. was supported by Fondecyt (Chile) grants #1010094 and #1030355, respectively. I.K. is grateful to Boris Kopeliovich for the discussions of infrared divergences. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory Article published earlier |
| spellingShingle | On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory Cvetic, G. Kondrashuk, I. Schmidt, I. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146453 |
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