Large-$N$ QCD on the lattice from twisted Eguchi-Kawai reduction
by
U2-04
Building U2 - Quantum
The large-$N$ limit is a fundamental theoretical framework to explore the non-perturbative domain of Quantum Chromo-Dynamics (QCD) and of
non-Abelian gauge theories in general. By virtue of the $1/N$ expansion, it is also a useful tool to compute phenomenologically-relevant quantities
for strong interactions. Standard lattice methods to study large-$N$ QCD consist in simulating the theory for increasing gauge-group ranks,
and extrapolate finite-$N$ results towards $N\to\infty$. The largest feasible values of $N$ are typically $O(10)$.
In this seminar I will present a different framework for the lattice simulation of large-$N$ gauge theories, based on the concept of Eguchi-Kawai
twisted large-$N$ volume independence. This property allows to simulate large-$N$ gauge theories on a volume-reduced 1-point lattice with
twisted boundary conditions. Getting rid of the space-time degrees of freedom permits to reach values of $N$ of the order of $10^2 - 10^3$.
I will present the research program I am pursuing with my collaborators about the study of meson dynamics in the large-$N$ limit
via twisted Eguchi-Kawai reduction. I will show results for meson masses, leading-order ChiPT low-energy constants,
and $\pi-\pi$ scattering in the large-$N$ limit.
BicQCD