Numerical study of Yang-Mills classical solutions on the twisted torus

Abstract

We use the lattice cooling method to investigate the structure of some gauge fixed SU(2) Yang-Mills classical solutions of the euclidean equations of motion which are defined in the 3-torus with symmetric twisted boundary conditions.

20pp (fig.included)

Cited by in corpus (27)

• Investigating Yang-Mills theory and Confinement as a function of the spatial volume
• Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
• Gauge invariant structures and Confinement
• Skyrme Crystal from a Twisted Instanton on a Four-Torus
• Isolated vacua in supersymmetric Yang-Mills theories
• Do classical configurations produce Confinement?
• Morita Duality and Large-N Limits
• Sphalerons and Other Saddles from Cooling
• Constructing SU(N) fractional instantons
• Expansion for the solutions of the Bogomolny equations on the torus
• Nahm dualities on the torus - a synthesis
• Numerical analysis of fractional charge solutions on the torus
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Gluino zero-modes for non-trivial holonomy calorons
• Strongly coupled QFT dynamics via TQFT coupling
• Classical Yang-Mills Vacua on $T^3$ : Explicit Constructions
• Monopole and vortex content of a meron pair
• TQFT at work for IR-renormalons, resurgence and Lefschetz decomposition
• Instanton classical solutions of SU(3) fixed point actions on open lattices
• Ultraviolet filtering of lattice configurations and applications to Monte Carlo dynamics
• Cluster expansion and resurgence in Polyakov model
• SU(2) vortex configuration in Laplacian Center Gauge
• Monopole-vortex continuity of $\mathcal{N}=1$ super Yang-Mills theory on ${\mathbb{R}}^2\times S^1\times S^1$ with 't Hooft twist
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$
• Influence of Fractal Embedding in Three-Dimensional Euclidean Space on Wave Propagation in Electro- Chromodynamics
• Polyakov Model in 't Hooft flux background: A quantum mechanical reduction with memory