Predictive pion-quark BCS relation and Thornber-Feynman high-Tc gap

TL;DR

This paper proposes a BCS-like relation for pion-quark pairing temperature derived from a quark-level Goldberger-Treiman relation, linking particle physics and high-Tc superconductivity through a shared energy gap concept.

Contribution

It introduces a novel predictive relation connecting pion-quark pairing temperature with lattice gauge data and draws an analogy to high-Tc superconductivity via Thornber-Feynman polaron dynamics.

Findings

Predicts pion-quark pairing temperature from a BCS-like relation.

Identifies an analog in high-Tc superconductivity for the energy gap.

Provides a theoretical link between particle physics and condensed matter phenomena.

Abstract

A pion-quark pairing temperature is defined by a BCS-like relation identified from a quark-level Goldberger-Treiman relation with a Nambu scalar mass "gap parameter" taken in the low-mass limit. This intuitive relation predicts the associated "experimental" lattice-gauge pairing temperature. The opposite high-mass limit predicts the sigma mass, and notably has a predictive analog in high-Tc superconductivity in the stable nondispersive energy gap as defined by Thornber-Feynman polaron dynamics.