Approaching the Chiral and Continuum Limit of Large-N QCD

TL;DR

This paper reports preliminary lattice QCD calculations of low energy constants for 3, 4, and 5 color theories with two flavors, observing expected N_c scaling and improved chiral perturbation theory applicability at higher N_c.

Contribution

It provides new lattice simulation results for low energy constants in large-N QCD with multiple colors, extending understanding of N_c scaling and chiral behavior.

Findings

Observed N_c scaling for condensate B and decay constant F.

Chiral perturbation theory describes data over a wider quark mass range at higher N_c.

Preliminary results for low energy constants in multi-color QCD.

Abstract

We present preliminary results from our calculation of the low energy constants (LECs) of the chiral effective theory for 3, 4 and 5 color QCD with $N_f=2$ dynamical fermion flavors. We simulate with clover fermions over a range of lattice couplings and quark masses. We observe the expected $N_c$ scaling for the LECs appropriate to the condensate $B$ and pseudoscalar decay constant $F$. The range of quark masses over which leading order chiral perturbation theory describes the data grows as $N_c$ rises.