Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory
We study the gauge dependence of the one-loop effective action for the abelian 6D, N=(1,0) supersymmetric gauge theory formulated in harmonic superspace. We introduce the superfield ξ-gauge, construct the corresponding gauge superfield propagator, and calculate the one-loop two- and three-point Gree...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-11-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321318302864 |
| _version_ | 1819060932858347520 |
|---|---|
| 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 gauge dependence of the one-loop effective action for the abelian 6D, N=(1,0) supersymmetric gauge theory formulated in harmonic superspace. We introduce the superfield ξ-gauge, construct the corresponding gauge superfield propagator, and calculate the one-loop two- and three-point Green functions with two external hypermultiplet legs. We demonstrate that in the general ξ-gauge the two-point Green function of the hypermultiplet is divergent, as opposed to the Feynman gauge ξ=1. The three-point Green function with two external hypermultiplet legs and one leg of the gauge superfield is also divergent. We verified that the Green functions considered satisfy the Ward identity formulated in N=(1,0) harmonic superspace and that their gauge dependence vanishes on shell. Using the result for the two- and three-point Green functions and arguments based on the gauge invariance, we present the complete divergent part of the one-loop effective action in the general ξ-gauge. |
| first_indexed | 2024-12-21T14:34:51Z |
| format | Article |
| id | doaj.art-07a97af23ec84d64b2739407b93d2309 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-21T14:34:51Z |
| publishDate | 2018-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-07a97af23ec84d64b2739407b93d23092022-12-21T19:00:22ZengElsevierNuclear Physics B0550-32132018-11-01936638660Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theoryI.L. Buchbinder0E.A. Ivanov1B.S. Merzlikin2K.V. Stepanyantz3Department of Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, Russia; National Research Tomsk State University, 634050, Tomsk, Russia; Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, RussiaBogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, RussiaDepartment of Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, Russia; Division of Experimental Physics, Tomsk Polytechnic University, 634050, Tomsk, Russia; Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, RussiaMoscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, Russia; Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia; Corresponding author.We study the gauge dependence of the one-loop effective action for the abelian 6D, N=(1,0) supersymmetric gauge theory formulated in harmonic superspace. We introduce the superfield ξ-gauge, construct the corresponding gauge superfield propagator, and calculate the one-loop two- and three-point Green functions with two external hypermultiplet legs. We demonstrate that in the general ξ-gauge the two-point Green function of the hypermultiplet is divergent, as opposed to the Feynman gauge ξ=1. The three-point Green function with two external hypermultiplet legs and one leg of the gauge superfield is also divergent. We verified that the Green functions considered satisfy the Ward identity formulated in N=(1,0) harmonic superspace and that their gauge dependence vanishes on shell. Using the result for the two- and three-point Green functions and arguments based on the gauge invariance, we present the complete divergent part of the one-loop effective action in the general ξ-gauge.http://www.sciencedirect.com/science/article/pii/S0550321318302864 |
| spellingShingle | I.L. Buchbinder E.A. Ivanov B.S. Merzlikin K.V. Stepanyantz Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory Nuclear Physics B |
| title | Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory |
| title_full | Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory |
| title_fullStr | Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory |
| title_full_unstemmed | Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory |
| title_short | Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory |
| title_sort | gauge dependence of the one loop divergences in 6d n 1 0 abelian theory |
| url | http://www.sciencedirect.com/science/article/pii/S0550321318302864 |
| work_keys_str_mv | AT ilbuchbinder gaugedependenceoftheoneloopdivergencesin6dn10abeliantheory AT eaivanov gaugedependenceoftheoneloopdivergencesin6dn10abeliantheory AT bsmerzlikin gaugedependenceoftheoneloopdivergencesin6dn10abeliantheory AT kvstepanyantz gaugedependenceoftheoneloopdivergencesin6dn10abeliantheory |