6533b823fe1ef96bd127e328

RESEARCH PRODUCT

Fermion Fields and Their Properties

Florian Scheck

subject

Physicssymbols.namesakeFermion doublingSpinorHelical Dirac fermionDirac equationsymbolsVan der Waerden's theoremFermionRepresentation theory of the Poincaré groupSpin-½Mathematical physics

description

The fundamental building blocks of matter, i.e. quarks and leptons, carry spin 1/2. There are two formally different but in essence equivalent methods of describing particles with spin: The representation theory of the Poincare group, in the framework of Wigner’s classification hypothesis of particles (see e.g. [QP07], Chap. 6), and the Van der Waerden spinor calculus based on SL(2, \(\mathbb{C}\)).

https://doi.org/10.1007/978-3-662-03245-9_1