On the invariant measure for the Yang–Mills configuration space in (3+1) dimensions

2003/02/28 by V. P. Nair, Alexandr Yelnikov, A. Yelnikov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge theory #Glueball #Hamiltonian (control theory) #Invariant (physics) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.05.008

published as Nucl.Phys. B691 (2004) 182-194 · LaTeX, 14 pages

arxiv created 2004/01/21 · openalex publication_date 2004/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a gauge-invariant Hamiltonian analysis for Yang-Mills theories in three spatial dimensions. The gauge potentials are parametrized in terms of a matrix variable which facilitates the elimination of the gauge degrees of freedom. We develop an approximate calculation of the volume element on the gauge-invariant configuration space. We also make a rough estimate of the ratio of 0⁺⁺ glueball mass and the square root of string tension by comparison with (2+1)-dimensional Yang-Mills theory.

Citations

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