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The structure of divergences in the higher-derivative supersymmetric $6D$ gauge theoryстатья
- Авторы: Buchbinder I.L., Budekhina A.S., Ivanov E.A., Stepanyantz K.V.
- Журнал: ArXiv e-prints
- Номер: 2503.18532 [hep-th]
- Год издания: 2025
- Аннотация: Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative $6D$ ${\cal N}=(1,0)$ supersymmetric Yang--Mills theory coupled to the hypermultiplet in the adjoint representation. The effective action is constructed in the framework of the superfield background fieldmethod with the help of ${\cal N}=(1,0)$ supersymmetric higher-derivative regularization scheme which preserves all symmetries of the theory. The one-loop divergences are calculated ina manifestly gauge invariant and $6D$, ${\cal N}=(1,0)$ supersymmetric form hopefully admitting a generalization to higher loops. The $\beta$-function in the one-loop approximation is foundand analyzed. In particular, it is shown that the one-loop $\beta$-function for an arbitrary regulator function is specified by integrals of double total derivatives in momentum space, like it happens in $4D,\, {\cal N}=1$ superfield gauge theories. This points to the potential possibility to derive the {\it all-loop} NSVZ-like exact$\beta$-function in the considered theory.
- Добавил в систему: Степаньянц Константин Викторович