Derivation of Chiral Lagrangians from Random Lattice QCD

TL;DR

This paper extends the derivation of chiral effective theories to random lattice QCD, showing how to sum certain contributions into a Born-Infeld term and logarithmic corrections, advancing understanding of lattice regularization effects.

Contribution

It introduces a method to derive chiral Lagrangians from random lattice QCD, enabling summation of infinite subseries into known functional forms.

Findings

Infinite subseries sum into Born-Infeld term

Logarithmic corrections identified

Extension of derivation to random lattices

Abstract

In our work we extend the ideas of the derivation of the chiral effective theory from the lattice QCD [1] to the case of the random lattice regularization of QCD. Such procedure allows in principle to find contribution of any order into the chiral effective lagrangian. It is shown that an infinite subseries of the chiral perturbation can be summed up into tne Born-Infeld term and the logarithmic correction to them.