Effective field theories for rooted staggered fermions

TL;DR

This paper develops an effective field theory framework for rooted staggered fermions, enabling derivation of rooted staggered chiral perturbation theory from a generalized Symanzik action and renormalization-group approach.

Contribution

It extends the Symanzik effective action construction to rooted staggered fermions, linking it with chiral effective theories and providing a systematic derivation.

Findings

Derived the Symanzik effective action for rooted staggered fermions.

Connected the Symanzik action with rooted staggered chiral perturbation theory.

Provided a systematic framework for effective field theories in lattice QCD.

Abstract

We extend the construction of the Symanzik effective action to include rooted staggered fermions, starting from a generalization of the renormalization-group approach to rooted staggered fermions. The Symanzik action, together with the usual construction of a partially quenched chiral effective theory from a local, partially quenched, fundamental theory, can then be used to derive the chiral effective theory. The latter reproduces rooted staggered chiral perturbation theory.