Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

Abstract

Magnetic excitations play a crucial role in understanding the color confinement of $4$d Yang-Mills theory, and we have the monopole and the center vortex as plausible candidates to explain its mechanism. Under suitable compactified setups of $4$d Yang-Mills theory, we can achieve different weakly-coupled descriptions of confinement phenomena: The monopole mechanism takes place on ${\mathbb{R}}^3\times S^1$ with the double-trace deformation, and the center-vortex mechanism is effective on ${\mathbb{R}}^2\times T^2$ with the 't Hooft flux. We unify these two semiclassical descriptions by showing the explicit relation between the monopole and center vortex.

arXiv comment6 pages, 1 figure, v2: clarifications and references added

References in corpus (36)

• Generalized Global Symmetries
• Theta, Time Reversal, and Temperature
• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Monopole Constituents inside SU(n) Calorons
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Monopoles and Instantons on Partially Compactified D-Branes
• Exact T-duality between Calorons and Taub-NUT spaces
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Center Projection Vortices in Continuum Yang-Mills Theory
• Continuity, Deconfinement, and (Super) Yang-Mills Theory
• QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large r(S_1) with Double-Trace Deformations
• Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups
• Monopoles, affine algebras and the gluino condensate
• Anomaly matching for phase diagram of massless ${\mathbb{Z}}_N$-QCD
• Center Vortices and Monopoles without lattice Gribov copies
• Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory
• Topology of Center Vortices
• Circle compactification and 't Hooft anomaly
• From 4d Yang-Mills to 2d ${\mathbb{CP}}^{N-1}$ model: IR problem and confinement at weak coupling
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Self-dual vortex-like configurations in SU(2) Yang-Mills Theory
• Study of SU(3) vortex-like configurations with a new maximal center gauge fixing method
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
• Center Vortices, Nexuses, and Fractional Topological Charge
• Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching
• Relating 't Hooft Anomalies of 4d Pure Yang-Mills and 2d ${\mathbb{CP}}^{N-1}$ Model
• Vortex configurations in the large N limit
• 4d ensembles of percolating center vortices and monopole defects: the emergence of flux tubes with N-ality and gluon confinement
• Semiclassics with 't Hooft flux background for QCD with $2$-index quarks
• Semiclassical analysis of the bifundamental QCD on ${\mathbb{R}}^2\times T^2$ with 't Hooft flux
• Gauge theory geography: charting a path between semiclassical islands
• 3D Yang-Mills confining properties from a non-Abelian ensemble perspective
• The infrared Yang-Mills wave functional due to percolating center vortices

Cited by in corpus (6)

• Ensembles of center vortices and chains: Insights from a natural lattice framework
• 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
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Thick oriented and nonoriented center-vortex $SU(N)$ configurations with fractional topological charge lumps