The Holographic Circlette: Part 13 — Chiral Symmetry Breaking and the Pion Mass from Discrete Topological Screening

We derive f_pi=Lambda_QCD/sqrt(4*pi)~93.66 MeV (0.7% from experiment). The GMOR relation follows from a 2-step quantum walk, yielding a bare mass of 169 MeV. The 1-loop self-energy via the 2D lattice Green's function screens the mass to m_pi=136.1 MeV (1% of the neutral pion). Zero free parameters at any stage.

Part of the Holographic Circlette paper series. See the summary paper for an overview of all results.

Keywords

information physics, discrete spacetime, it from bit, pion decay constant, chiral symmetry breaking, 8-bit code, holographic circlette, 4.8.8 lattice, pion mass, quantum error correction

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