A Dirac field is a quantum field that describes fermions, which are particles that obey the Pauli exclusion principle, like electrons and quarks. This field is crucial for understanding the behavior of spin-1/2 particles in quantum mechanics and serves as the foundation for quantum field theory. The Dirac equation, which governs this field, combines principles of quantum mechanics and special relativity, revealing how these particles interact with each other and with other fields.
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