Confining Effective Theories Based on Instantons and Merons

Abstract

An effective theory based on ensembles of either regular gauge instantons or merons is shown to produce confinement in SU(2) Yang-Mills theory. When the scale is set by the string tension, the action density, topological susceptibility and low-lying glueball spectrum are similar to those arising in lattice QCD. The physical mechanism producing confinement is explained, and a number of analytical insights into the effective theory are presented.

53 pages, 41 figures

References in corpus (16)

• Instantons in QCD
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Quark confinement and the bosonic string
• Casimir scaling of SU(3) static potentials
• SU(N) gauge theories in four dimensions: exploring the approach to N = infinity
• Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and estimates of $<{\alpha }_s{G}^2>$ and ${\alpha }_s$
• Observing string breaking with Wilson loops
• Adjoint string breaking in 4d SU(2) Yang-Mills theory
• Confinement from Merons
• Sizes of Lightest Glueballs in SU(3) Lattice Gauge Theory
• The Euclidean two-point correlation function of the topological charge density
• Adjoint "quarks" on coarse anisotropic lattices: Implications for string breaking in full QCD
• Diffusion of Wilson Loops
• Classes of confining gauge field configurations
• Topological Concepts in Gauge Theories

Cited by in corpus (10)

• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Chiral Symmetry Breaking on the Lattice
• Cautionary remarks on the moduli space metric for multi-dyon simulations
• Confining dyon gas with finite-volume effects under control
• Computing the Effective Hamiltonian of Low-Energy Vacuum Gauge Fields
• Adjoint string breaking in the pseudoparticle approach
• Quantum Interactions Between Non-Perturbative Vacuum Fields
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• The adjoint potential in the pseudoparticle approach: string breaking and Casimir scaling