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2024

Dynamical Edge Modes in Yang-Mills Theory

Ball, Adam, Ciambelli, Luca

Understand

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.