Is an imaginary electromagnetic gauge field something physical?

[MelvinSmith]

Hi,
my question is, if there is an interpretation for electromagnetic gauge fields, whose components are imaginary. This would lead to an imaginary magnetic field... Does anything like this exist? Or is it forbidden ny some first principal arguments?
Thank you in advance for every input!
Melvin

 

[andrien]

Electromagnetic field can be set up by a principal of local gauge invariance as is done in yang-mills theory. maxwell eqn, which describe electromagnetic field can be put in a form in which E and B enters in a way like E+iB,It happens when maxwell eqn are put in a similar form to dirac eqn to describe spin 1 rather than spin 1/2 character of EM field.