Partially quenched chiral perturbation theory in the epsilon-regime

TL;DR

This paper derives meson correlators in the epsilon-regime of partially quenched chiral perturbation theory, allowing arbitrary valence and sea quark masses, and connects different flavor theories for comparison with lattice QCD.

Contribution

It provides a comprehensive calculation of meson correlators in the epsilon-regime with arbitrary non-degenerate quark masses, bridging theories with varying flavor numbers.

Findings

Derived explicit meson correlators for arbitrary quark masses.

Established smooth connections among theories with different flavor numbers.

Facilitates direct comparison with lattice QCD simulations.

Abstract

We calculate meson correlators in the epsilon-regime within partially quenched chiral perturbation theory. The valence quark masses and sea quark masses can be chosen arbitrary and all non-degenerate. Taking some of the sea quark masses to infinity, one obtains a smooth connection among the theories with different number of flavors, as well as the quenched theory. These results can be directly compared with lattice QCD simulations.