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Post Closed as "Duplicate" by Chris Gerig, abx, David Roberts♦, Willie Wong, S. Carnahan♦
Typos, poor use of LaTeX fixed.
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David Roberts ♦
David Roberts ♦
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(reference request) gauge Gauge-theoretic formulation of Maxwell equations

Does any one know how to write the Maxwell equations as an equation on a principleprincipal $U(1)$-bundle?

In Freed & Uhlenbeck's $\textit{Freed & Uhlenbeck: Instantons and Four manifolds}$Instantons and Four manifolds, the author claimsauthors claim that the Maxwell equations can be written in a gauge theoretic way: the electro-magnetic field can be viewed as the curvature $F$ of a $U(1)$-bundle on the 4-dimensional Lorentz manifold, and the Maxwell equations are equivalent to $d^∗_A(F)=0$, where A is the connection. Does anyone have a reference for this statement? I just want to have a look at the proof and see how everything matches.

(reference request) gauge-theoretic formulation of Maxwell equations

Does any one know how to write the Maxwell equations as an equation on a principle $U(1)$-bundle?

In $\textit{Freed & Uhlenbeck: Instantons and Four manifolds}$, the author claims that the Maxwell equations can be written in a gauge theoretic way: the electro-magnetic field can be viewed as the curvature $F$ of a $U(1)$-bundle on the 4-dimensional Lorentz manifold, and the Maxwell equations are equivalent to $d^∗_A(F)=0$, where A is the connection. Does anyone have a reference for this statement? I just want to have a look at the proof and see how everything matches.

Gauge-theoretic formulation of Maxwell equations

Does any one know how to write the Maxwell equations as an equation on a principal $U(1)$-bundle?

In Freed & Uhlenbeck's Instantons and Four manifolds, the authors claim that the Maxwell equations can be written in a gauge theoretic way: the electro-magnetic field can be viewed as the curvature $F$ of a $U(1)$-bundle on the 4-dimensional Lorentz manifold, and the Maxwell equations are equivalent to $d^∗_A(F)=0$, where A is the connection. Does anyone have a reference for this statement? I just want to have a look at the proof and see how everything matches.

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Boyu Zhang
Boyu Zhang
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(reference request) gauge-theoretic formulation of Maxwell equations

Does any one know how to write the Maxwell equations as an equation on a principle $U(1)$-bundle?

In $\textit{Freed & Uhlenbeck: Instantons and Four manifolds}$, the author claims that the Maxwell equations can be written in a gauge theoretic way: the electro-magnetic field can be viewed as the curvature $F$ of a $U(1)$-bundle on the 4-dimensional Lorentz manifold, and the Maxwell equations are equivalent to $d^∗_A(F)=0$, where A is the connection. Does anyone have a reference for this statement? I just want to have a look at the proof and see how everything matches.