Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 638-660 |
| Number of pages | 23 |
| Journal | Nuclear Physics B |
| Volume | 936 |
| DOIs | |
| Publication status | Published - 1 Nov 2018 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory. / Buchbinder, I. L.; Ivanov, E. A.; Merzlikin, B. S.; Stepanyantz, K. V.
In: Nuclear Physics B, Vol. 936, 01.11.2018, p. 638-660.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Gauge dependence of the one-loop divergences in 6D, N=(1,0) abelian theory
AU - Buchbinder, I. L.
AU - Ivanov, E. A.
AU - Merzlikin, B. S.
AU - Stepanyantz, K. V.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85055028465&partnerID=8YFLogxK
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U2 - 10.1016/j.nuclphysb.2018.10.005
DO - 10.1016/j.nuclphysb.2018.10.005
M3 - Article
AN - SCOPUS:85055028465
VL - 936
SP - 638
EP - 660
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -