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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.