Physics:Quantum spinor field
A quantum spinor field is a field whose components transform as spinors under rotations and Lorentz transformations. In relativistic quantum field theory, spinor fields describe spin-1/2 matter such as electrons, quarks, neutrinos, and other fermions. Unlike scalar fields, spinor fields carry intrinsic spin structure and obey anticommutation rules that encode the Pauli exclusion principle.[1][2]
Spin and Lorentz structure
A spinor field has several components because it must represent how a fermionic state changes under spacetime transformations. Dirac, Weyl, and Majorana spinors are common forms used for different physical assumptions about mass, chirality, and particle-antiparticle relations.[3]
Fermionic quantization
When quantized, spinor fields use creation and annihilation operators that anticommute rather than commute. This mathematical structure prevents identical fermions from occupying the same quantum state and is essential for the stability of matter.[4]
Role in the Standard Model
The matter particles of the Standard Model are represented by spinor fields coupled to gauge fields and, through mass terms or Yukawa interactions, to the Higgs field. The spinor-field viewpoint separates the particle excitation from the underlying field.[5]
See also
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References
- ↑ "Spinor field". https://en.wikipedia.org/wiki/Spinor_field.
- ↑ Peskin, Michael E.; Schroeder, Daniel V. (1995). An Introduction to Quantum Field Theory. Addison-Wesley. ISBN 978-0-201-50397-5.
- ↑ "Dirac field". https://en.wikipedia.org/wiki/Dirac_field.
- ↑ Schwartz, Matthew D. (2014). Quantum Field Theory and the Standard Model. Cambridge University Press. ISBN 978-1-107-03473-0.
- ↑ "Review of Particle Physics". Physical Review D 110 (3): 030001. 2024. DOI 10.1103/PhysRevD.110.030001.
Source attribution: Physics:Quantum spinor field