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
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- Nobuhito Maru
- Department of Physics, Osaka Metropolitan University , Osaka 558-8585 , Japan
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- Mitsuyo Suzuki
- Department of Physics, Osaka Metropolitan University , Osaka 558-8585 , Japan
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- Naoya Ukita
- Center for Computational Sciences, University of Tsukuba , Ibaraki 305-8577 , Japan
抄録
<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>
収録刊行物
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- Progress of Theoretical and Experimental Physics
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Progress of Theoretical and Experimental Physics 2023 (1), 2022-12-12
Oxford University Press (OUP)