Dynamical Edge Modes in Yang-Mills Theory

Abstract

We study the symplectic structure and dynamics of Yang-Mills theory in the presence of a boundary. We introduce a decomposition of the fields on a Cauchy slice such that the symplectic form splits cleanly into independent bulk and edge parts. However, we find that the dynamics inherently couples these two symplectic sectors, a feature arising from the non-abelian nature of the gauge group. This is shown by extending to Yang-Mills theory the dynamical edge mode boundary condition recently introduced in Maxwell theory. We finish with analyses of the weak-field expansion and the horizon limit, finding in the latter case that the dynamical interplay between bulk and edge degrees of freedom persists.

15 pages plus 1 appendix

References in corpus (70)

• Local subsystems in gauge theory and gravity
• Asymptotic Symmetries of Yang-Mills Theory
• Remarks on entanglement entropy for gauge fields
• Decomposition of entanglement entropy in lattice gauge theory
• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Entanglement entropy of electromagnetic edge modes
• Gravity and the Crossed Product
• 2D Kac-Moody Symmetry of 4D Yang-Mills Theory
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• On The Entanglement Entropy For Gauge Theories
• Edge modes of gravity -- I: Corner potentials and charges
• Geometric entropy and edge modes of the electromagnetic field
• Entanglement entropy and nonabelian gauge symmetry
• Aspects of Entanglement Entropy for Gauge Theories
• Local phase space and edge modes for diffeomorphism-invariant theories
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Extended corner symmetry, charge bracket and Einstein's equations
• Edge modes and corner ambiguities in 3d Chern-Simons theory and gravity
• Edge modes of gravity -- II: Corner metric and Lorentz charges
• Embeddings and Integrable Charges for Extended Corner Symmetry
• Einstein-Yang-Mills theory : I. Asymptotic symmetries
• Isolated Surfaces and Symmetries of Gravity
• Edge modes of gravity. Part III. Corner simplicity constraints
• Lorentz-diffeomorphism edge modes in 3d gravity
• A unified geometric framework for boundary charges and dressings: non-Abelian theory and matter
• Shadows and Soft Exchange in Celestial CFT
• Perturbative gauge theory at null infinity
• Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
• Living on the Edge: A Toy Model for Holographic Reconstruction of Algebras with Centers
• Edge modes as reference frames and boundary actions from post-selection
• Gravitational edge modes: From Kac-Moody charges to Poincaré networks
• A proposal for 3d quantum gravity and its bulk factorization
• Universal Corner Symmetry and the Orbit Method for Gravity
• Extended actions, dynamics of edge modes, and entanglement entropy
• Soft Limits of Yang-Mills Amplitudes and Conformal Correlators
• Edge State Quantization: Vector Fields in Rindler
• Edge modes as dynamical frames: charges from post-selection in generally covariant theories
• Notes on Entanglement in Abelian Gauge Theories
• Non-abelian infrared divergences on the celestial sphere
• A note on entanglement edge modes in Chern Simons theory
• Covariant Phase Space and Soft Factorization in Non-Abelian Gauge Theories
• Note on asymptotic symmetries and soft gluon theorems
• Dynamical Edge Modes and Entanglement in Maxwell Theory
• Matrix Quantization of Gravitational Edge Modes
• Comments on Defining Entanglement Entropy
• Entanglement, Soft Modes, and Celestial Holography
• Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back
• Diffeomorphism-invariant observables and dynamical frames in gravity: reconciling bulk locality with general covariance
• Central Charge and Entangled Gauge Fields
• Corner symmetry and quantum geometry
• Multipartite edge modes and tensor networks
• On the definition of entanglement entropy in lattice gauge theories
• The quasilocal degrees of freedom of Yang-Mills theory
• Dynamical Edge Modes in $p$-form Gauge Theories
• Null Hamiltonian Yang-Mills theory: Soft symmetries and memory as superselection
• From Asymptotic Symmetries to the Corner Proposal
• Quantum Corner Symmetry: Representations and Gluing
• Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy
• Charge algebra for non-abelian large gauge symmetries at $O(r)$
• The entropy of finite gravitating regions
• Gravitational Edge Mode in Asymptotically AdS${}_2$: JT Gravity Revisited
• Extended Phase Space in General Gauge Theories
• Entanglement, Soft Modes, and Celestial CFT
• Gravitons on the edge
• Cornering Quantum Gravity
• Gravitational Edge Mode in $\mathcal{N}=1$ Jackiw-Teitelboim Supergravity
• Generalized entropy of photons in AdS
• On infinite symmetry algebras in Yang-Mills theory
• Celestial Operator Products of Gluons and Gravitons
• Soft degrees of freedom, Gibbons-Hawking contribution and entropy from Casimir effect

Cited by in corpus (1)

• Gravitons on Nariai Edges