Generalization of Stokes theorem and pure gauge fields

Manabu Iyanaga

doi:10.1063/1.524852

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Generalization of Stokes theorem and pure gauge fields

Manabu Iyanaga

Year: 1981 Journal: Journal of Mathematical Physics Vol: 22 (11)Pages: 2713-2715 Publisher: American Institute of Physics

DOI: 10.1063/1.524852

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Abstract

A generalization of the Stokes theorem is derived for the path-order phase factor in nonabelian gauge theories. It is proved that the curvature form vanishes identically if and only if the connection form is pure gauge.

Keywords:

Generalization Mathematics Gauge theory Mathematical physics Curvature Gauge (firearms) Connection (principal bundle) Gauge fixing Gauge boson Physics Mathematical analysis Pure mathematics Geometry

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Nonlinear Dynamics and Pattern Formation

Physical Sciences → Computer Science → Computer Networks and Communications

Mechanical and Optical Resonators

Physical Sciences → Physics and Astronomy → Atomic and Molecular Physics, and Optics

Physics of Superconductivity and Magnetism

Physical Sciences → Physics and Astronomy → Condensed Matter Physics

Generalization of Stokes theorem and pure gauge fields

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