Question related to completeness relation for photons

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Dhmht_Kr
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Homework Statement
Question is posted below.
Relevant Equations
completeness relation
Hi
Would you explain to me what is the q^ and how they are related to completeness.How can i solve this exercise?It is from "Quarks and leptons An Introductory course in Modern Particle Physics" of Halzen and Alan D.Martin.Also, can you point me to a useful bibliography?

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