论文标题

计算有效领域理论中的操作员

Counting operators in Effective Field Theories

论文作者

Dujava, Jonáš

论文摘要

我们系统地开发了希尔伯特系列技术,用于计算有效的现场理论中的独立运营商。为了为主题提供更容易的入口点,我们包括对所有必要的组理论工具的详细介绍(以相当数学定义的理论方式)。最后,在单个标量场和电磁场的情况下,我们应用形式主义,部分繁殖并部分扩展已知结果。

We systematically develop the Hilbert series technique for counting independent operators in Effective Field Theories. In the hope of providing more approachable entry point to the subject we include a detailed introduction of all necessary group theoretic tools (in a rather mathematical definition-theorem-proof style). Finally, we apply the formalism in the case of a single scalar field and also electromagnetic field, partly reproducing and partly extending known results.

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