All Questions
Tagged with cpt-symmetry dirac-equation
9
questions
1
vote
1
answer
128
views
Charge conjugation is a symmetry for the quantized free Dirac action?
I am self-studying QFT on "A modern introduction to quantum filed theory" by Maggiore, and on page 95 he states: "For the free Dirac action, one immediately sees that C,P and T are ...
- 613
3
votes
0
answers
164
views
Time-reversal transformation acts on the Weyl lagrangian with nonabelian gauge field
I would like to show time-reversal transformation acts on the Weyl lagrangian in the familiar 4 dimensional space-time.
My notation follows the same as Peskin QFT book, such as that of chapter 3. I ...
- 593
2
votes
0
answers
244
views
Is CPT a unitary symmetry or an antiunitary symmetry?
Is CPT a unitary symmetry or an antiunitary symmetry, such as the free Dirac theory of fermion $\psi$ in Chapter 3 of Peskin's QFT book?
Since
T is antiunitary symmetry,
P is unitary symmetry,
C is ...
- 4,336
0
votes
1
answer
1k
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C and T Symmetry of Free Dirac Lagrangian
I want to show the $C$ and $T$ symmetry of the free Dirac Lagrangian
$$\mathcal{L}=\overline{\psi}\left(i\gamma^\mu\partial_\mu-m\right)\psi.$$
Following the notation of Peskin, Schroeder, we have ...
- 1,187
2
votes
2
answers
2k
views
CPT invariance of Dirac equation
We know that Dirac equation is
\begin{equation}
( i \partial _\mu \gamma ^\mu - m ) \psi ~=~0.
\end{equation}
How can we show that Dirac equation is invariant under CPT transformation?
- 451
18
votes
2
answers
13k
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How to prove $(\gamma^\mu)^\dagger=\gamma^0\gamma^\mu\gamma^0$?
Studying the basics of spin-$\frac{1}{2}$ QFT, I encountered the gamma matrices. One important property is $(\gamma^5)^\dagger=\gamma^5$, the hermicity of $\gamma^5$. After some searching, I stumbled ...
- 16.4k
5
votes
1
answer
2k
views
Derivation of a gamma matrices identity
While studying Srednicki's book on quantum field theory, I encountered a particular identity that is of interest to me (equation 36.40):
$$\mathcal{C}^{-1}\gamma^\mu\mathcal{C}=-(\gamma^\mu)^T$$
where ...
- 16.4k
21
votes
2
answers
19k
views
Charge conjugation in Dirac equation
According to Dirac equation we can write,
\begin{equation}
\left(i\gamma^\mu( \partial_\mu +ie A_\mu)- m \right)\psi(x,t) = 0
\end{equation}
We seek an equation where $e\rightarrow -e $ and which ...
user12906
0
votes
1
answer
2k
views
Charge conjugation in Dirac equation
I need to know the mathematical argument about why this relation is true $(C^{-1})^T\gamma ^ \mu C^T = - \gamma ^{\mu T} $ .
Where $C$ is defined by $U=C \gamma^0$ ; $U$= non singular matrix , $T$= ...
user12906