Coulomb Gauge and Gauge Transformation

AI Thread Summary
Coulomb gauge is a method used to simplify the equations in electromagnetism by fixing the gauge, which helps in analyzing electric and magnetic fields. It involves choosing a specific condition where the divergence of the vector potential is set to zero, making calculations more manageable. This approach is related to gauge transformations, as it is one of the many ways to express potentials while keeping the physical fields unchanged. Understanding Coulomb gauge provides clarity on how different gauge choices can affect the representation of electromagnetic phenomena. Overall, it serves as a practical tool in theoretical physics to facilitate problem-solving in gauge theories.
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I understand the conceptual meaning of gauge transformation which "can be broadly defined as any formal, systematic transformation of the potentials that leaves the fields invariant". I understand for example the U(1) and S(3) gauge symmetry in Gauge Theory. But what is this got to do with Coulomb gauge? Please use plain english in explaining and less on math because I'm not good in math but I just want to have general birds' eye view idea of coulomb gauge and how it is related to gauge transformation. Thanks.
 
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Coulomb gauge is a specific way to fix the gauge
 
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