Supergraph analysis of the one-loop divergences in 6D , N=(1,0) and N=(1,1) gauge theories
| Parent link: | Nuclear Physics B: Scientific Journal.— , 1984- Vol. 921.— 2017.— [P. 127–158] |
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| Corporate Author: | |
| Other Authors: | , , , |
| Summary: | Title screen 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. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
2017
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| Subjects: | |
| Online Access: | https://doi.org/10.1016/j.nuclphysb.2017.05.010 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=655120 |
| Summary: | Title screen 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. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1016/j.nuclphysb.2017.05.010 |