标题： 规范不变的量子场 显示英文标题

标题： Gauge-Invariant Quantum Fields

摘要： 在一种阿贝尔幂次计数可重正化的规范理论中构建了具有标量、矢量和费米子物质内容的规范不变量子场。这扩展了之前通过传播的规范不变场对希格斯模式进行规范不变描述所获得的结果。 研究了该模型的重正化问题，采用了代数重正化方法。分析了Slavnov-Taylor恒等式的分解为单独不变子扇区的问题。 我们还讨论了一些非重正化可扩展的模型，其1-PI Green函数是某些齐次Euler型微分方程的流，精确地重新求和了一组特定维度的dim.6和dim.8导数算符的依赖性。 后者通过它们在规范不变动力学场中构成质量项和动能项这一条件唯一确定。 该构造可以推广到非阿贝尔规范群。 显示英文摘要

摘要： Gauge-invariant quantum fields are constructed in an Abelian power-counting renormalizable gauge theory with both scalar, vector and fermionic matter content. This extends previous results already obtained for the gauge-invariant description of the Higgs mode via a propagating gauge-invariant field. The renormalization of the model is studied in the Algebraic Renormalization approach. The decomposition of Slavnov-Taylor identities into separately invariant sectors is analyzed. We also comment on some non-renormalizable extensions of the model whose 1-PI Green's functions are the flows of certain differential equations of the homogeneous Euler type, exactly resumming the dependence on a certain set of dim. 6 and dim. 8 derivative operators. The latter are identified uniquely by the condition that they span the mass and kinetic terms in the gauge-invariant dynamical fields. The construction can be extended to non-Abelian gauge groups.