Electric charge amplitude mode superconductivity

[jean194]

Hello,

I have a question about the Higgs mode in superconductivity. In this doc, it is said, page 12, that the Higgs mode has no electric charge. But it couples nonlinearly with the photon (in the Ginzburg-Landau theory there is a term A²h with A the vector potential and h the Higgs mode). So I don't understand this apparent contradiction.

Thanks.

 

[BigJDubs]

The Higgs mode does not have an electric charge, but it does couple to the electromagnetic field. This coupling is what gives rise to the Ginzburg-Landau term A²h. The reason this does not contradict the lack of charge on the Higgs mode is that the A²h term does not involve the electric field (which carries charge) and only involves the vector potential A which is related to the magnetic field.