Scholarlink

<p>Extending local gauge transformations in a suitable way to Faddeev–Popov ghost fields, one obtains a symmetry of the total action, i.e., the Yang–Mills action plus a gauge fixing term (in a <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation>-gauge) plus the ghost action. The anomalous Master Ward Identity (for this action and this extended, local gauge transformation) states that the pertinent Noether current—the interacting “gauge current”—is conserved up to anomalies. It is proved that, apart from terms being easily removable (by finite renormalization), all possible anomalies are excluded by the consistency condition for the anomaly of the Master Ward Identity, recently derived in Brunetti et al. (Ann Henri Poincaré, 2023, <a href="https://doi.org/10.1007/s00023-023-01388-w">https://doi.org/10.1007/s00023-023-01388-w</a>).</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

The Power of the Anomaly Consistency Condition for the Master Ward Identity: Conservation of the Non-Abelian Gauge Current

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年6月8日

查看全文
  • Michael Dütsch

摘要

Extending local gauge transformations in a suitable way to Faddeev–Popov ghost fields, one obtains a symmetry of the total action, i.e., the Yang–Mills action plus a gauge fixing term (in a \(\lambda \) λ -gauge) plus the ghost action. The anomalous Master Ward Identity (for this action and this extended, local gauge transformation) states that the pertinent Noether current—the interacting “gauge current”—is conserved up to anomalies. It is proved that, apart from terms being easily removable (by finite renormalization), all possible anomalies are excluded by the consistency condition for the anomaly of the Master Ward Identity, recently derived in Brunetti et al. (Ann Henri Poincaré, 2023, https://doi.org/10.1007/s00023-023-01388-w).