Scalar made from electromagnetic four potential

  • #1
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Main Question or Discussion Point

Hi.

What physical meaning does scalar made from inner product of electromagnetic four potential, gαβAαAβ, have?

Regards.
 

Answers and Replies

  • #2
DrDu
Science Advisor
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It is kind of a mass term for the electromagnetic field, which appears e.g. in superconductors where it produces the Meissner Ochsenfeld effect.
However, it is gauge dependent.
 
  • #3
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Hi, thank you DrDu.
Is it is related to canonical momentum replacement p → (p − eA) in Hamiltonian for charged particles ?
Regards. 
 

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