There are two types of fields, I think is important to distinguish. One is a classical field and the other is a quantum field. What makes it quantum is that a field can vibrate. You can imagine a field actually undergoing some oscillatory undulation. If these vibrations in a quantum field could actually be quantized, meaning that they have discrete vibrations so they can, their vibrational pattern is like a musical note. So you probably learned that in quantum mechanics you have wave particle duality. The field now explains what really is going on with particles.

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