Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery

1993/08/31 by Paul Mansfield · 4 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #Color confinement #Coupling (piping) #Gauge theory #Geometry #Ground state #Inverse #Mass gap #Mathematical physics #Mathematics #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th

paper · pdf · doi:10.1016/0550-3213(94)90240-2

published as Nucl.Phys.B418:113-130,1994 · 18 pages, DTP-93-43 [original version corrupted by mailer]

arxiv created 1993/09/04 · openalex publication_date 1994/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We solve Schrödinger's equation for the ground-state of \it four-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a calculation in \it two-dimensional Yang-Mills theory which is known to confine. Consequently the Wilson loop in the four-dimensional theory obeys an area law to leading order and the coupling becomes infinite as the mass-scale goes to zero.

Citations

• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Reliable Perturbative Results for Strong Interactions?

Cited by

• Strong coupling quantum gravity and physics beyond the Planck scale
• Ground-state wave-functional in (2+1)-dimensional Yang-Mills theory: abelian limit, spectrum and robustness
• The O(N) σ-model Laplacian
• The Boundary Weyl Anomaly in the = 4 SYM/Type IIB Supergravity Correspondence