All Questions
Tagged with cpt-symmetry fermions
6
questions
3
votes
0
answers
101
views
Time Reversal symmetry, Quaternions, and spin-1/2 systems
When one has a system with no spin and time reversal symmetry, one can conclude that the Hamiltonian entries (in a particular basis, of course) must all be real. Can something be said about the ...
- 423
2
votes
1
answer
290
views
Define $C,P,T$ symmetry transformation in even dimensional $d$ spacetime on a relativistic Weyl fermion theory
According to https://physics.stackexchange.com/a/488388/42982 we can define $C,P,T$ discrete symmetry transformation in even dimensional spacetime.
How could we write $C,P,T$ symmetry transformation ...
- 4,336
0
votes
2
answers
669
views
CPT transformation for bilinears
In the page 5 of the document 'CPT Symmetry and Its Violation' by Ralf Lehnert (https://core.ac.uk/download/pdf/80103866.pdf), appears a discussion about how the spin-statistics theorem applies to the ...
- 1,597
2
votes
2
answers
2k
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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
5
votes
1
answer
2k
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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
17
votes
0
answers
1k
views
Time Reversal, CPT, spin-statistics, mass gap and chirality of Euclidean fermion field theory
In Minkowski space even-dim (say $d+1$ D) spacetime dimension, we can write fermion-field theory as the Lagrangian:
$$
\mathcal{L}=\bar{\psi} (i\not \partial-m)\psi+ \bar{\psi} \phi_1 \psi+\bar{\psi} ...
- 7,848