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Abstract <p>In this paper, we investigate four-dimensional <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(SU(N_{c})\)</EquationSource> <!--NuclPhys2660004Mukhaeva-m3--> </InlineEquation> renormalizable gauge-Yukawa theory which exhibits Asymptotic Safety. We give the results for interacting ultraviolet fixed points, critical exponents and anomalous dimensions for <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\textrm{dim}=3\)</EquationSource> <!--NuclPhys2660004Mukhaeva-m4--> </InlineEquation> operators for finite number of colors <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(N_{c}\)</EquationSource> <!--NuclPhys2660004Mukhaeva-m5--> </InlineEquation> at 2-loop for gauge, 1-loop for Yukawa and scalar fields.</p>

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Anomalous Dimensions of dim\({=3}\) Operators in Asymptotically Safe Model

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • Alfiia Mukhaeva

摘要

Abstract

In this paper, we investigate four-dimensional \(SU(N_{c})\) renormalizable gauge-Yukawa theory which exhibits Asymptotic Safety. We give the results for interacting ultraviolet fixed points, critical exponents and anomalous dimensions for \(\textrm{dim}=3\) operators for finite number of colors \(N_{c}\) at 2-loop for gauge, 1-loop for Yukawa and scalar fields.