Abstract
It has been known for a long time that large-N methods can give invaluable insights into non-perturbative phenomena such as confinement. Lattice techniques can be used to compute quantities at large N. In this contribution, I review some recent large-N lattice results and discuss their implications for our understanding of non-perturbative QCD.
Highlights
Introduction and motivationsAn analytical determination of observables in Quantum Chromodynamics (QCD) is still an open issue
The key observation is that if we consider QCD in the general context of SU(N) gauge theories and take the limit for the number of colours N going to infinity keeping constant the ’t Hooft coupling λ = g2N (with g gauge coupling of the SU(N) theory), the system undergoes a drastic simplification at the diagrammatic level
Email address: b.lucini@swansea.ac.uk (Biagio Lucini) planar diagrams survive
Summary
An analytical determination of observables in Quantum Chromodynamics (QCD) is still an open issue. Analytical progress can be inputed back into numerical calculations of QCD to inform numerical interpolations or extrapolations Inspired by these motivations, following earlier attempts, in the past fifteen years a broad lattice programme of numerical simulations has been undertaken with the goal of providing firm quantitative results for QCD observables using lattice techniques (see [7, 8, 9] for recent reviews). In this contribution, we review the foundations and the most recent developments of lattice calculations in the large-N limit of SU(N) gauge theories. A brief summary with an overview on future perspectives completes this work
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
