- #1

- 17

- 0

Can someone please give me the form of the "Weyl" version of the Rarita-Schwinger equation.

Thanks

- Thread starter yola
- Start date

- #1

- 17

- 0

Can someone please give me the form of the "Weyl" version of the Rarita-Schwinger equation.

Thanks

- #2

- 12,997

- 550

I don't know what you mean. What's the Weyl version of other equation ?

- #3

- 17

- 0

i want the expression in terms of two component spinors and not Dirac spinors.

- #4

- 12,997

- 550

There are no Dirac spinors in that equation, but Rarita-Schwinger spinors.

- #5

- 17

- 0

what if i want to express it in terms of sigmas instead of gamma matrices. by what i can replace the levi-civita?

- #6

- 12,997

- 550

The Weyl form is apparently the so-called <chiral representation> of the Dirac algebras, as opposed to the Majorana and Dirac representations.

- #7

Bill_K

Science Advisor

- 4,155

- 195

∂_{ab}φ^{aa1a2...al}_{b1b2...bk} = iκ χ^{a1a2...al}_{b1b2...bk}

∂^{ab}χ^{a1a2...al}_{bb1b2...bk} = iκ φ^{aa1a2...al}_{bb1b2...bk}

Here both spinors φ and χ are symmetric. κ is the mass. φ has l+1 undotted (raised) and k dotted (lowered) indices; χ has l undotted and k+1 dotted indices. The underlying representation of the field equations is therefore ((l+1)/2 , k/2) ⊕ (l/2 , (k+1)/2).

∂

Here both spinors φ and χ are symmetric. κ is the mass. φ has l+1 undotted (raised) and k dotted (lowered) indices; χ has l undotted and k+1 dotted indices. The underlying representation of the field equations is therefore ((l+1)/2 , k/2) ⊕ (l/2 , (k+1)/2).

Last edited:

- Replies
- 3

- Views
- 5K

- Replies
- 3

- Views
- 3K

- Last Post

- Replies
- 1

- Views
- 3K

- Replies
- 4

- Views
- 3K

- Last Post

- Replies
- 1

- Views
- 3K

- Last Post

- Replies
- 3

- Views
- 5K

- Last Post

- Replies
- 1

- Views
- 777

- Replies
- 8

- Views
- 3K

- Replies
- 2

- Views
- 3K

- Replies
- 13

- Views
- 4K