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group_theory:notions:spinor

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group_theory:notions:spinor [2017/02/21 06:20] jakobadmin |
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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? ===== |

group_theory/notions/spinor.txt ยท Last modified: 2017/12/06 09:33 (external edit)