Recent content by Reggaerules
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Graduate Help with page 73 of Weinbergs QFT, vol.1
It turns out that it was an error on my part. For example, for rotation by angle \phi around the 3 axis, I get e^{-i \phi J_3} since \omega_{12} = - \phi.- Reggaerules
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Help with page 73 of Weinbergs QFT, vol.1
In equation (2.5.47), I am getting U(R(\hat p) = e^{+i \phi J_3} e^{+i \theta J_2} Instead of the "-" signs in the exponential. This makes a phase difference under parity and time reversal of a massless particle. Is this one of the active rotation vs. passive rotation problem? If so...- Reggaerules
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- Qft
- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics
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Graduate QED Path Integrals: Weinberg QFT Book Explained
Am I thinking correctly? Does Weinberg explain the disappearence of the adjoint spinors?- Reggaerules
- Post #8
- Forum: High Energy, Nuclear, Particle Physics
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Graduate QED Path Integrals: Weinberg QFT Book Explained
Last line of page 17, volume 2. Also the measure in 15.4.16 does not have any adjoint spinor terms. I am just afraid to move on (since I am studying QFT by myself). Not sure why Weinberg does this consistently. If I understand it for the simple case of QED (I haven't yet started Vol. 2), I am...- Reggaerules
- Post #7
- Forum: High Energy, Nuclear, Particle Physics
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Graduate QED Path Integrals: Weinberg QFT Book Explained
Wow, you are much more proficient in this than I am. But, I think my questions remains...mind you, I don't have any problems with his conclusions. As you pointed out, you integrated the positions and momentums of the fermion fields at same time. Weinberg just integrates out the momenta...- Reggaerules
- Post #5
- Forum: High Energy, Nuclear, Particle Physics
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Graduate QED Path Integrals: Weinberg QFT Book Explained
I have gone through the entire chapter, but nothing seems to help me. In the development of the spinor path integral, Weinberg requires d \psi^dagger (d p_m as he calls in the general formulation) in the integral measure, but, when he does QED, this does not appear in the integral measure. If I...- Reggaerules
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate QED Path Integrals: Weinberg QFT Book Explained
Does anyone understand how weinberg in his QFT book does QED via path integrals: specifically, how does he integrate out the adjoint dirac spinor?- Reggaerules
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- Integrals Path Path integrals Qed
- Replies: 7
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Weinberg, Vol. 1: Path Integrals Query
QFT: Path Integrals, Weinberg Vol. 1 I had e-mailed SW about this, he told me that it was integrated out. My understanding is fairly minimal, but from (9.5.1), (9.5.49) and (9.5.52), I didn't think the adjoint spinor could be integrated out. If you could give me a reference, and/or a hint...- Reggaerules
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Weinberg, Vol. 1: Path Integrals Query
I am trying to study QFT from Weinberg's Vol. 1. I am at the moment stuck at the path integral quantization of QED (Weinberg's treatment). I am not sure how he integrates out the matter field momenta (for the spinor field) in eq. (9.6.5). I thought for spinor fields you don't do that...- Reggaerules
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- Integrals Path Path integrals Weinberg
- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics