Pions reloaded
M.N. Ferreira, A.S. Miramontes, J.M. Morgado, J. Papavassiliou, J.M. Pawlowski

TL;DR
This paper introduces a new approach to solving the pion Bethe-Salpeter equation in the chiral limit, utilizing advanced QCD correlation functions while strictly adhering to axial Ward-Takahashi identities.
Contribution
It provides a novel formulation that exactly satisfies axial Ward-Takahashi identities both formally and numerically, advancing the theoretical understanding of pions in QCD.
Findings
Exact fulfillment of axial Ward-Takahashi identities.
Implementation of state-of-the-art QCD correlation functions.
Novel solution method for the pion Bethe-Salpeter equation.
Abstract
We present a novel version of the pion Bethe-Salpeter equation in the chiral limit, solved using as ingredients state-of-the-art QCD correlation functions. The constraints imposed by the axial Ward-Takahashi identities are exactly fulfilled, both formally and numerically.
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