Counting operators in Effective Field Theories
Jonáš Dujava
Abstract
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.