The Hamiltonian approach to Yang–Mills (2+1): Expansion scheme and corrections to string tension

2009/06/03 by Dimitra Karabali, V. P. Nair, Alexandr Yelnikov · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computation #Hamiltonian (control theory) #Lattice (music) #Mathematical optimization #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #String field theory #String theory #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.07.019

published as Nucl.Phys.B824:387-414,2010 · 33 pages, 10 figures

arxiv created 2009/06/03 · openalex publication_date 2009/07/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We carry out further analysis of the Hamiltonian approach to Yang-Mills theory in 2+1 dimensions which helps to place the calculation of the vacuum wave function and the string tension in the context of a systematic expansion scheme. The solution of the Schrodinger equation is carried out recursively. The computation of correlators is re-expressed in terms of a two-dimensional chiral boson theory. The effective action for this theory is calculated to first order in our expansion scheme and to the fourth order in a kinematic expansion parameter. The resulting corrections to the string tension are shown to be very small, in the range -0.3% to -2.8%, moving our prediction closer to the recent lattice estimates.

Citations

• Glueball spectrum of pure Yang-Mills theory in2+1dimensions
• Computation of the string tension in four-dimensional Yang–Mills theory using large N reduction
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theoreiesin (2+1) dimensions
• Dimensional reduction and the Yang-Mills vacuum state in2+1dimensions
• Yang–Mills theory in 2+1 dimensions: Coupling of matter fields and string-breaking effects
• Robustness of the vacuum wave function and other matters for Yang-Mills theory
• Computation of the string tension in three dimensional Yang-Mills theory using largeNreduction

Cited by

• (2+1)-dimensional Yang-Mills theory and form factor perturbation theory