Large-NReduction in the Continuum Three-Dimensional Yang-Mills Theory

2003/03/31 by Rajamani Narayanan, R. Narayanan, Herbert Neuberger +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer graphics (images) #Computer science #Dimensional reduction #Euclidean geometry #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Planar #Quantum Chromodynamics and Particle Interactions #String theory #Torus #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevlett.91.081601

published as Phys.Rev.Lett. 91 (2003) 081601 · 4 pages, latex file, two figures, version to appear in Phys. Rev. Lett

arxiv created 2003/08/19 · openalex publication_date 2003/08/22 · openalex created_date 2016/06/24 · arxiv updated 2016/09/01 · openalex updated_date 2026/08/05

Abstract

Numerical and theoretical evidence leads us to propose the following: Three-dimensional Euclidean Yang-Mills theory in the planar limit undergoes a phase transition on a torus of side l=l(c). For l>l(c) the planar limit is l independent, as expected of a noninteracting string theory. We expect the situation in four dimensions to be similar.

Citations

• Large N phase transition in continuum QCD2
• Exact equation for the loop average in multicolor QCD

Cited by

• The large N limit of four dimensional Yang-Mills field coupled to adjoint fermions on a single site lattice
• Quantum Phase Transitions and New Scales in QCD-like Theories
• LargeNreduction on coset spaces