# Physics Notes by Jakob Schwichtenberg

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group_theory:notions:spinor

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 group_theory:notions:spinor [2017/02/21 06:20]jakobadmin group_theory:notions:spinor [2017/12/06 09:33] (current) Both sides previous revision Previous revision 2017/02/21 06:20 jakobadmin [Spinors] 2017/02/21 06:20 jakobadmin 2017/02/21 06:19 jakobadmin 2017/02/21 06:19 jakobadmin [Recommended Resources] 2017/02/21 06:18 jakobadmin created Next revision Previous revision 2017/02/21 06:20 jakobadmin [Spinors] 2017/02/21 06:20 jakobadmin 2017/02/21 06:19 jakobadmin 2017/02/21 06:19 jakobadmin [Recommended Resources] 2017/02/21 06:18 jakobadmin created Line 12: Line 12: Spinors arise as mathematical objects when one studies the [[http://​notes.jakobschwichtenberg.com/​doku.php?​id=the_standard_model:​poincare_group#​representations_of_the_lorentz_group|representation theory of the Lorentz group]]. ​ Spinors arise as mathematical objects when one studies the [[http://​notes.jakobschwichtenberg.com/​doku.php?​id=the_standard_model:​poincare_group#​representations_of_the_lorentz_group|representation theory of the Lorentz group]]. ​ - The objects that transform under the $(\frac{1}{2},​0)$ or $(0,​\frac{1}{2})$ representation of the Lorentz group are called **Weyl spinors**, objects transform under the (reducible) $(\frac{1}{2},​0) \oplus (0,​\frac{1}{2})$ representation are called Dirac spinors. + The objects that transform under the $(\frac{1}{2},​0)$ or $(0,​\frac{1}{2})$ representation of the Lorentz group are called **Weyl spinors**, objects transform under the (reducible) $(\frac{1}{2},​0) \oplus (0,​\frac{1}{2})$ representation are called ​**Dirac spinors**. ===== Why are they interesting?​ ===== ===== Why are they interesting?​ =====