A Dirac spinor transforms as , so it combines the two Weyl chiralities into a parity-invariant representation.
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A Dirac spinor is a mathematical object used in quantum mechanics and quantum field theory to describe fermions, which are particles that follow the principles of Fermi-Dirac statistics. Named after the physicist Paul Dirac, the Dirac spinor is a specific type of complex-valued function that transforms under Lorentz transformations in a way consistent with the principles of relativity.