Global Gauge Symmetries and Spatial Asymptotic Boundary Conditions in Yang-Mills Theory

Borsboom, Silvester and Posthuma, Hessel (2025) Global Gauge Symmetries and Spatial Asymptotic Boundary Conditions in Yang-Mills Theory. [Preprint]

This is the latest version of this item.

	Text (SciPost resubmission) SciPost resubmission.pdf - Submitted Version Download (320kB)
	Text (added various explanations and details (v2)) Global_gauge_symmetries_and_asymptotic_boundary_conditions (5).pdf - Updated Version Download (346kB)
	Text Global_gauge_symmetries_and_asymptotic_boundary_conditions (3).pdf Download (297kB)

Official URL: https://scipost.org/submissions/scipost_202506_000...

Abstract

In Yang-Mills theory on a Euclidean Cauchy surface, the physical gauge group is often taken to be $\mathcal{G}^I/\mathcal{G}^\infty_0$, where $\mathcal{G}^I$ consists of boundary-preserving gauge transformations asymptoting to a constant, and $\mathcal{G}^\infty_0$ consists of transformations generated by the Gauss law constraint. We rigorously derive this physical gauge group for both Abelian and non-Abelian theories. A key result is that restricting to $\mathcal{G}^I$ follows from the structure of the instantaneous state space on which the instantaneous Lagrangian is defined. We extend our analysis to Yang-Mills-Higgs theory, showing that boundary conditions and the physical gauge group differ between the unbroken and broken phases.

Export/Citation:

Social Networking:

Share |

Item Type:

Preprint

Creators: