The Electromagnetic Field and the de Rham Cohomology

Eberhard Zeidler
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Eberhard Zeidler: Max Planck Institute for Mathematics in the Sciences

Chapter 23 in Quantum Field Theory III: Gauge Theory, 2011, pp 1027-1067 from Springer

Abstract: 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 $\mathbb{S}^{1}$ .

Keywords: Exact Sequence; Wilson Loop; Cohomology Group; Betti Number; Algebraic Topology (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-22421-8_24

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