Staggered Chiral Perturbation Theory

TL;DR

This paper develops a generalized staggered chiral perturbation theory framework to include multiple flavors and computes one-loop corrections for pion and kaon masses and decay constants across different quenching scenarios.

Contribution

It extends the Lee-Sharpe Lagrangian to multiple flavors, enabling more comprehensive calculations in staggered chiral perturbation theory.

Findings

Derived one-loop mass corrections for pions and kaons.

Calculated decay constant corrections in various quenching cases.

Provided a generalized formulation for staggered chiral perturbation theory.

Abstract

We discuss how to formulate a staggered chiral perturbation theory. This amounts to a generalization of the Lee-Sharpe Lagrangian to include more than one flavor (i.e. multiple staggered fields), which turns out to be nontrivial. One loop corrections to pion and kaon masses and decay constants are computed as examples in three cases: the quenched, partially quenched, and full (unquenched) case. The results for the one loop mass and decay constant corrections have already been presented in Ref. [1].