Detailed study of a transition point in the Veneziano-Wosiek model of Planar Quantum Mechanics

TL;DR

This paper investigates a transition point in the Veneziano-Wosiek model of Planar Quantum Mechanics, providing high-precision numerical results that confirm the critical coupling at lambda=1 in sectors with two and three fermions.

Contribution

The study offers detailed numerical analysis of the transition point in the model, confirming the critical coupling value with high precision in specific fermionic sectors.

Findings

Transition point occurs at lambda=1 in studied sectors

High-precision numerical results support theoretical predictions

Analysis focuses on sectors with two and three fermions

Abstract

Following a model recently investigated by Veneziano and Wosiek we briefly introduce Planar Quantum Mechanics (PQM). Then, we present high precision numerical results in the sectors with two and three fermions. We confirm, that the transition point in the 't Hooft's coupling constant lambda in these sectors occurs at lambda = 1, as was expected.