Lorentz transformation in Coulomb gauge

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SUMMARY

The discussion centers on the Lorentz transformation in the context of the Coulomb gauge as presented in equation 14.25 of Bjorken and Drell's "Relativistic Quantum Fields." Participants address the derivation of the operator gauge function and identify a potential sign error in the equation. A contributor claims to have resolved the sign error, providing clarity on the transformation process.

PREREQUISITES
  • Understanding of Lorentz transformations in quantum field theory
  • Familiarity with the Coulomb gauge in electromagnetism
  • Knowledge of operator gauge functions in quantum mechanics
  • Experience with Bjorken and Drell's "Relativistic Quantum Fields" textbook
NEXT STEPS
  • Study the derivation of Lorentz transformations in quantum field theory
  • Examine the implications of the Coulomb gauge on electromagnetic fields
  • Investigate operator gauge functions and their applications in quantum mechanics
  • Review potential errors in mathematical derivations in quantum field theory
USEFUL FOR

Students and researchers in theoretical physics, particularly those focusing on quantum field theory and electromagnetism, will benefit from this discussion.

GreenGiant
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Hello I have been having trouble understanding equation 14.25 in Bjorken and Drell "Relativistic Quantum Fields" and how exactly it gets to it. Also I would like to explicitly find/derive what the operator gauge function is. Can anyone help please?
 
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Hi,

I know it's a year late, but here's a derivation. I think there's a sign error in there somewhere, though. Let me know if you find it.
 

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Well, you will be delighted to hear that I think I fixed the sign error.
 

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