All Questions
7
questions
2
votes
1
answer
429
views
Parity transformations and Dirac Spinor
I'm reading "No-Nonsense quantum field theory" and I have some doubts about the transformation law for Dirac Spinors as explained by the author. In the book the left chiral spinors $\chi$ ...
- 373
1
vote
1
answer
215
views
PT transformation of a spinor
By demanding the the Dirac equation be invariant under general Lorentz transformations, we get an equation for the transformation matrix of a Dirac spinor,
$$ S^{-1}(\Lambda) \gamma^\mu S(\Lambda) = {\...
- 2,648
0
votes
0
answers
249
views
How do time reversal and parity inversion act on a Majorana spinor in QFT?
Dirac particles are not the same Majorana particles. However, in the simple Lorentz group (boost and rotations, but no parity or time flips), they transform the same way. Particles in QFT were defined ...
- 6,936
2
votes
3
answers
588
views
Are pseudospinors valid or useful?
We all know that in addition to scalars and vectors, there are pseudoscalars and pseudovectors, which have an additional sign flip under parity. These are useful and necessary when constructing ...
- 103k
5
votes
0
answers
666
views
Why parity exchanges right handed and left handed spinors
Reading through David Tong lecture notes on QFT.
On pages 94, he shows the action of parity on spinors. See below link:
QFT notes by Tong
In (4.75) he confirms that parity exchanges right handed ...
user56963
13
votes
2
answers
5k
views
Conceptual interpretation of the left- and right-handed spinor representations of the Lorentz group
I understand mathematically that the Lorentz group's Lie algrebra $\mathfrak{so(3,1)}$ (given by eqns. (33.11)-(33.13) in Srednicki's QFT book) is isomorphic to $\mathfrak{su(2) \times su(2)}$ (given ...
- 48.4k
3
votes
1
answer
402
views
Different definitions of the parity transformation for the Dirac spinors
There are two definitions of the parity transformation acting on the Dirac spinors: $\Psi_P = \eta \gamma^0 \Psi$ with $\eta = i$ ($P^2=-1$ as in Srednicki) and $\eta=1$ ($P^2=+1$ as in Peskin & ...
- 41