Strolling along gauge theory vacua. (English) Zbl 1381.81081
Summary: 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.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R40 | Symmetry breaking in quantum theory |
| 83C10 | Equations of motion in general relativity and gravitational theory |
| 35Q51 | Soliton equations |
Keywords:
gauge symmetry; spontaneous symmetry breaking; global symmetries; solitons monopoles and instantonsReferences:
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