Perturbative calculation of supersymmetric gradient flow in 𝒩 = 1 supersymmetric QCD

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  • Daisuke Kadoh
    Faculty of Sciences and Engineering, Doshisha University , Kyoto 610-0394 , Japan
  • Nobuhito Maru
    Department of Physics, Osaka Metropolitan University , Osaka 558-8585 , Japan
  • Mitsuyo Suzuki
    Department of Physics, Osaka Metropolitan University , Osaka 558-8585 , Japan
  • Naoya Ukita
    Center for Computational Sciences, University of Tsukuba , Ibaraki 305-8577 , Japan

Abstract

<jats:title>Abstract</jats:title> <jats:p>We demonstrate perturbative calculations of supersymmetric gradient flow in four-dimensional ${\mathcal {N}=1}$ supersymmetric quantum chromodynamics (SQCD). A remarkable property of the gradient flow is to make ultraviolet (UV) divergences of flowed field correlators milder. To illustrate this property, we calculate two-point functions for the flowed fields in SQCD at the one-loop level and investigate their UV divergence structure. After renormalizing the SQCD at the boundary, the two-point functions of flowed gauge supermultiplets are shown to be UV-finite. On the other hand, those for flowed matter supermultiplets require extra wave function renormalization, which are found to be the common factor for all the fields in the multiplets.</jats:p>

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