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0 votes
0 answers
16 views

Effects of Localized Medium Changes on Field Propagation

I've studied various theories related to fields. These theories often include equations describing how the activity of a source is transmitted to other locations. The properties of the medium ...
Luessiaw's user avatar
  • 695
2 votes
0 answers
101 views

Free electromagnetic field BV action

I am trying to write down the extended BV-action of the free electromagnetic field in a physicist notation, but I don't find it anywhere. I found the following formula in example 3.1. of the paper ...
ProphetX's user avatar
  • 689
3 votes
1 answer
497 views

Is EM interpreted in a principal or vector bundle?

I've read in a few places that EM is a $U(1)$-principal bundle; but is this correct? Isn't it rather an associated vector bundle using the adjoint representation of $U(1)$?
Mozibur Ullah's user avatar
28 votes
1 answer
1k views

Electric charges on compact four-manifolds

Textbook wisdom in electromagnetism tells you that there is no total electric charge on a compact manifold. For example, consider space-time of the form $\mathbb{R} \times M_3$ where the first factor ...
jws's user avatar
  • 401