# Microscopic fields inside a conductor

In a neutral conductor if we assume electrons as point charges, the electric field in the space between them cannot be identically zero. This microscopic field may be very weak. What if we were very close to one of electrons? Shouldn't the electric field diverge?

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The field at a particle is singular... – Mikhail May 8 '15 at 2:37
Maxwell's system of equations is a mean-field theory; the microscopic theory requires quantization; e.g., QFT. – Peter Diehr Mar 13 at 17:54
Have a look at physics.stackexchange.com/questions/253730/… – jim May 20 at 18:05