Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories
We study the one-loop effective action for 6D, N=(1,0) supersymmetric Yang–Mills (SYM) theory with hypermultiplets and 6D, N=(1,1) SYM theory as a subclass of the former, using the off-shell formulation of these theories in 6D, N=(1,0) harmonic superspace. We develop the corresponding supergraph tec...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317301748 |
| _version_ | 1818846505788768256 |
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| author | I.L. Buchbinder E.A. Ivanov B.S. Merzlikin K.V. Stepanyantz |
| author_facet | I.L. Buchbinder E.A. Ivanov B.S. Merzlikin K.V. Stepanyantz |
| author_sort | I.L. Buchbinder |
| collection | DOAJ |
| description | We study the one-loop effective action for 6D, N=(1,0) supersymmetric Yang–Mills (SYM) theory with hypermultiplets and 6D, N=(1,1) SYM theory as a subclass of the former, using the off-shell formulation of these theories in 6D, N=(1,0) harmonic superspace. We develop the corresponding supergraph technique and apply it to compute the one-loop divergences in the background field method ensuring the manifest gauge invariance. We calculate the two-point Green functions of the gauge superfield and the hypermultiplet, as well as the three-point gauge-hypermultipet Green function. Using these Green functions and exploiting gauge invariance of the theory, we find the full set of the off-shell one-loop divergent contributions, including the logarithmic and power ones. Our results precisely match with those obtained earlier in [1,2] within the proper time superfield method. |
| first_indexed | 2024-12-19T05:46:38Z |
| format | Article |
| id | doaj.art-4199bb14aebb4b428bd5ab5fad69d868 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-19T05:46:38Z |
| publishDate | 2017-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4199bb14aebb4b428bd5ab5fad69d8682022-12-21T20:33:48ZengElsevierNuclear Physics B0550-32131873-15622017-08-01921C12715810.1016/j.nuclphysb.2017.05.010Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theoriesI.L. Buchbinder0E.A. Ivanov1B.S. Merzlikin2K.V. Stepanyantz3Department of Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, RussiaBogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, RussiaDepartment of Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, RussiaMoscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, RussiaWe study the one-loop effective action for 6D, N=(1,0) supersymmetric Yang–Mills (SYM) theory with hypermultiplets and 6D, N=(1,1) SYM theory as a subclass of the former, using the off-shell formulation of these theories in 6D, N=(1,0) harmonic superspace. We develop the corresponding supergraph technique and apply it to compute the one-loop divergences in the background field method ensuring the manifest gauge invariance. We calculate the two-point Green functions of the gauge superfield and the hypermultiplet, as well as the three-point gauge-hypermultipet Green function. Using these Green functions and exploiting gauge invariance of the theory, we find the full set of the off-shell one-loop divergent contributions, including the logarithmic and power ones. Our results precisely match with those obtained earlier in [1,2] within the proper time superfield method.http://www.sciencedirect.com/science/article/pii/S0550321317301748 |
| spellingShingle | I.L. Buchbinder E.A. Ivanov B.S. Merzlikin K.V. Stepanyantz Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories Nuclear Physics B |
| title | Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories |
| title_full | Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories |
| title_fullStr | Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories |
| title_full_unstemmed | Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories |
| title_short | Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories |
| title_sort | supergraph analysis of the one loop divergences in 6d n 1 0 and n 1 1 gauge theories |
| url | http://www.sciencedirect.com/science/article/pii/S0550321317301748 |
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