(2+1)-dimensional lattice QCD

2005/01/31 by Peter Orland · 20 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Hamiltonian (control theory) #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quantum nonlocality #cond-mat.str-el #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevd.71.054503

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 71(5) (American Physical Society) · Still Latex, 18 pages, no figures, with some further typographical errors corrected. Version to appear in Phys. Rev. D

arxiv created 2005/03/03 · openalex publication_date 2005/03/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider a (2+1)-dimensional SU(N) lattice gauge theory in an axial gauge with the link field U₁ set equal to one. The term in the Hamiltonian containing the square of the electric field in the 1-direction is nonlocal. Despite this nonlocality, we show that weak-coupling perturbation theory in this term gives a finite vacuum-energy density to second order, and suggest that this property holds to all orders. Heavy quarks are confined, the spectrum is gapped, and the spacelike Wilson loop has area decay.

Citations

• Manifest covariance and the Hamiltonian approach to mass gap in (2+1)-dimensional Yang-Mills theory
• A gauge-invariant Hamiltonian analysis for non-Abelian gauge theoreiesin (2+1) dimensions
• Quarks, Gluons and Lattices
• A gauge-fixed Hamiltonian for lattice QCD
• CANONICAL QUANTIZATION OF TWO-DIMENSIONAL GAUGE FIELDS
• An introduction to lattice gauge theory and spin systems
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models

Cited by

• Fluctuations destroying long-range order in SU(2) Yang-Mills theory