Question related to completeness relation for photons

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SUMMARY

The discussion centers on the completeness relation for photons, specifically addressing the notation q^ and its significance in quantum field theory. The participants reference the textbook "Quarks and Leptons: An Introductory Course in Modern Particle Physics" by Halzen and Martin for context. The exercise involves calculating the completeness relation using the definition of the polarization vector ελ and applying a brute force method for resolution.

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  • Understanding of quantum field theory concepts
  • Familiarity with polarization vectors in particle physics
  • Knowledge of the completeness relation in quantum mechanics
  • Experience with mathematical calculations in particle physics
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  • Study the completeness relation for various particle states
  • Learn about polarization vectors and their applications in quantum mechanics
  • Review exercises from "Quarks and Leptons: An Introductory Course in Modern Particle Physics"
  • Explore advanced topics in quantum field theory, such as gauge invariance
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Students and researchers in theoretical physics, particularly those focusing on quantum field theory and particle physics, will benefit from this discussion.

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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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Just write down the definition of the ##\epsilon_{\lambda}## and do the calculation by "brute force" (it's not too difficult).
 
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