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Abstract <p> We consider four-dimensional <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal{N}=4\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(SU(N)\)</EquationSource> </InlineEquation> super-Yang–Mills theory formulated in terms of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathcal{N}=1\)</EquationSource> </InlineEquation> superfields where the leading low-energy contributions to the effective action are given by the chiral effective potential. This effective potential is calculated in the one-loop and higher-loop approximations. We show that this potential is automatically finite and proportional to the classical chiral potential. All quantum corrections are found explicitly and factored into a coefficient of the classical potential. </p>

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Chiral effective potential in four-dimensional \(\mathcal{N}=4\) SYM theory

  • 期刊论文

  • 发表日期：

    2026年6月25日

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  • I. L. Buchbinder,
  • D. I. Kazakov,
  • A. I. Mukhaeva,
  • D. M. Tolkachev,
  • R. M. Iakhibbaev

摘要

Abstract

We consider four-dimensional \(\mathcal{N}=4\) , \(SU(N)\) super-Yang–Mills theory formulated in terms of \(\mathcal{N}=1\) superfields where the leading low-energy contributions to the effective action are given by the chiral effective potential. This effective potential is calculated in the one-loop and higher-loop approximations. We show that this potential is automatically finite and proportional to the classical chiral potential. All quantum corrections are found explicitly and factored into a coefficient of the classical potential.