Thursday, 28 September 2017

operators - Background fields in canonical formalism



In quantum electrodynamics problems involving background fields, most text books usually makes the following substitution


AμAμ=Aμ0+Aμc


Where Ac is classical field satisfying Maxwell equations.


In the path integral formalism this seems reasonable to do since, Aμ0 and Aμc are c numbers but in the canonical formalism Aμ0 are an operator and Aμc a c number.


Is this a reasonable thing to do?




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