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Non-Abelian Stokes theorem in action
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In this short review main issues related to the non-Abelian Stokes theorem have been addressed. The two principal approaches to the non-Abelian Stokes theorem, operator and two variants (coherent-state and holomorphic) of the path-integral one, have been formulated in their simplest possible forms. A recent generalization for a knotted loop as well as a suggestion concerning higher-degree forms have been also included. Non-perturbative applications of the non-Abelian Stokes theorem, to (semi-)topological gauge theories, have been presented.
Forward citations
Cited by 2 Pith papers
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Net electron spin rotation in a plane-wave pulse: Holonomy set by the anomalous magnetic moment
The net spin rotation of an electron crossing a plane-wave pulse equals -a_e^2/2 times the signed area swept by the vector potential, i.e. the pulse helicity, for arbitrary pulse shapes.
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Wilson Holonomy and Spectral Monodromy in Spin-Orbit Rings: Effective Gauge Connections and Loop Observables
Distinguishes Wilson holonomy from spectral monodromy in spin-orbit rings and maps the Hamiltonian to effective U(1) plus non-Abelian connections for two explicit ring models.
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