Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

About eq. (5.7.23) in Weinberg's The quantum theory of fields vol. I

  1. Jul 31, 2012 #1
    On page 237, Weinberg checked eq. (5.7.23) with an example when [itex]\mathbf p[/itex] is along the three direction. Below that equation the phase factor [itex]\exp([-a + b - \tilde{a} + \tilde{b}]\theta)=\exp([2\tilde b-2a]\theta)[/itex].

    Under the transformation
    [tex]p^0\rightarrow -p^0;\mathbf p\rightarrow -\mathbf p,[/tex]
    the phase factor becomes [itex](-1)^{2\tilde b-2a}\exp([2\tilde b-2a](-\theta))[/itex]. The major difference is that [itex]\exp(\pm\theta d)[/itex] should be transformed into [itex](-1)^d\exp(\mp\theta d)[/itex] for any integer [itex]d[/itex]. This cannot lead to the conclusion of eq. (5.7.23). Please enlighten me on this issue. Thanks.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: About eq. (5.7.23) in Weinberg's The quantum theory of fields vol. I
Loading...