Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, K. V. Stepanyantz

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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 languageEnglish
Pages (from-to)127-158
Number of pages32
JournalNuclear Physics B
Volume921
DOIs
Publication statusPublished - 1 Aug 2017

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gauge theory
divergence
Green's functions
gauge invariance
harmonics
formulations

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 journalArticle

Buchbinder, I. L. ; Ivanov, E. A. ; Merzlikin, B. S. ; Stepanyantz, K. V. / Supergraph analysis of the one-loop divergences in 6D, N=(1,0) and N=(1,1) gauge theories. In: Nuclear Physics B. 2017 ; Vol. 921. pp. 127-158.
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