Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 127-158 |
| Number of pages | 32 |
| Journal | Nuclear Physics B |
| Volume | 921 |
| DOIs | |
| Publication status | Published - 1 Aug 2017 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories. / Buchbinder, I. L.; Ivanov, E. A.; Merzlikin, B. S.; Stepanyantz, K. V.
In: Nuclear Physics B, Vol. 921, 01.08.2017, p. 127-158.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories
AU - Buchbinder, I. L.
AU - Ivanov, E. A.
AU - Merzlikin, B. S.
AU - Stepanyantz, K. V.
PY - 2017/8/1
Y1 - 2017/8/1
N2 - 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.
AB - 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.
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U2 - 10.1016/j.nuclphysb.2017.05.010
DO - 10.1016/j.nuclphysb.2017.05.010
M3 - Article
VL - 921
SP - 127
EP - 158
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -