# Tag Info

1 vote

### Dirac propagator in Non-Abelian Theory

Hints: P&S is considering the free fermion propagator in eq. (16.4), i.e. the cubic $\bar{\psi} A\psi$ interaction term does not contribute. In the Lagrangian density (16.1) there are implicitly ...
• 167k
1 vote

### Question about the parity violation of weak interaction Lagrangian

$$\gamma^0 P_L \gamma^0 = P_R, \\ \gamma^0 P_R \gamma^0 = P_L,$$  P: \qquad \psi(x) \longrightarrow \gamma^0 \psi(-x) ~~~~\leadsto \\ P: \qquad \psi(x)^\dagger \longrightarrow \psi(-x)^\dagger ...
Accepted

### Soldering Spinors in cylindrical coordinate

It seems that the answer is yes and we can write the soldering in deferent coordinate system.
• 67
Accepted

### The mathematics of different particle rotations

Consider a point in space, and the effect a rotation would have on that point. Because the point has no internal structure (in other words, it is characterized entirely by its spatial location), a ...
• 50.6k

### What is the idea behind 2-spinor calculus?

May I suggest a somewhat intuitive way to try to answer the question, inspired by the late Sir Michael Atiyah's view that "spinors are the square root of geometry". Atiyah argues in his ...
• 928

### What is the correct way of looking at the Dirac field?

To add to what hft said, $\hat \psi$ is valued in a tensor product of operator densities and the spinor bundle. If you want to get an operator, you need to pair it with a smooth section of the dual ...
• 7,432
Accepted

### What is the correct way of looking at the Dirac field?

I agree that both are operators but $\hat{\psi}$ is more than an operator. It is also a matrix. What is the correct way to think about $\hat{\psi}$ so as to distinguish it from $\hat{\phi}$? For ...
• 6,807