Strolling along gauge theory vacua

Abstract

We consider classical, pure Yang-Mills theory in a box. We show how a set of static electric fields that solve the theory in an adiabatic limit correspond to geodesic motion on the space of vacua, equipped with a particular Riemannian metric that we identify. The vacua are generated by spontaneously broken global gauge symmetries, leading to an infinite number of conserved momenta of the geodesic motion. We show that these correspond to the soft multipole charges of Yang-Mills theory.

arXiv comment46 pages, 1 figure, Published version

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• Systematics of Boundary Actions in Gauge Theory and Gravity
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• A low-energy limit of Yang-Mills theory on de Sitter space
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