# How do one describe particles with chirality?

1. Sep 11, 2007

### iamquantized

1) How do one describe particles with chirality? Dirac and Weyl equation?

2) Are particles of different chirality interacts?

3) Does electron have chirality?

2. Sep 15, 2007

### Timo

1) Weyl spinors describe paricles with a definite chirality. Dirac spinors incorporate degrees of freedom for both chiralities. You can extract the desired chirality from dirac spinors with the projection operator $$P_\pm = 0.5 (1 \pm \gamma^5)$$. As a result, both desciptions are fine and in fact interchangable.

2) Pls try reposting the question.

3) The term "electron" ususally means both, the left-handed and the right-handed electron. You can either treat it as two different Weyl fields (the left- and right-handed electron) or, as usually done, as a single Dirac spinor. In the latter case, you can still unambigiously project on its left- and right-handed components.

3. Sep 15, 2007