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The Electromagnetic Field and the de Rham Cohomology

In: Quantum Field Theory III: Gauge Theory

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  • Eberhard Zeidler

    (Max Planck Institute for Mathematics in the Sciences)

Abstract

Gauge theory is based on potentials. The de Rham cohomology of a manifold M relates the existence of potentials to the topology of the manifold M. To begin with, let us explain this for the real line and the unit circle $\mathbb{S}^{1}$ .

Suggested Citation

  • Eberhard Zeidler, 2011. "The Electromagnetic Field and the de Rham Cohomology," Springer Books, in: Quantum Field Theory III: Gauge Theory, chapter 23, pages 1027-1067, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-22421-8_24
    DOI: 10.1007/978-3-642-22421-8_24
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