### 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

### Cite this

*Nuclear Physics B*,

*921*, 127-158. https://doi.org/10.1016/j.nuclphysb.2017.05.010

**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.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 921, pp. 127-158. https://doi.org/10.1016/j.nuclphysb.2017.05.010

}

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.

UR - http://www.scopus.com/inward/record.url?scp=85020060774&partnerID=8YFLogxK

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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 -