Scholarlink

Abstract <p> We prove that the supersymmetric Wess–Zumino model is internally inconsistent. Our proof relies on three key assumptions. First, the structure of the counterterms in the full theory is assumed to coincide with that in perturbation theory. Second, the metric is assumed to be positive, implying the absence of ghost states in the spectrum of the model. Third, the canonical commutation relations between generalized coordinates and momenta are assumed to hold in the renormalized theory. Our results demonstrate that ghost states are inevitably present in the spectrum of the Wess–Zumino model, thereby contradicting these initial assumptions. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the internal inconsistency of the Wess–Zumino model

  • 期刊论文

  • 发表日期：

    2026年7月24日

查看全文
  • N. V. Krasnikov

摘要

Abstract

We prove that the supersymmetric Wess–Zumino model is internally inconsistent. Our proof relies on three key assumptions. First, the structure of the counterterms in the full theory is assumed to coincide with that in perturbation theory. Second, the metric is assumed to be positive, implying the absence of ghost states in the spectrum of the model. Third, the canonical commutation relations between generalized coordinates and momenta are assumed to hold in the renormalized theory. Our results demonstrate that ghost states are inevitably present in the spectrum of the Wess–Zumino model, thereby contradicting these initial assumptions.