1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Spinors and Lorentzgroups: representation of the complete Lorentzgroup?

  1. Dec 25, 2011 #1
    1. The problem statement, all variables and given/known data

    Hi,

    This question is about Lorentzgroups. In my course of Relativity, we've seen a very little about representations of complete Lorentz groups but there are two little exercises, which we can do, but I do not understand what should be checked, not even how to start this.

    The question is the following:
    A/Does the Lagrangian L = i u*^{Adot} \partial_{A Adot} u^{Adot} (with u^A a spinor field and u* a conjugated spinor) form a scalar under the complete Lorentzgroup?

    B/What about the Lagrangian L = F_{mu nu} F*^{mu nu}, and I suppose this F is the Electromagnetic Maxwell Tensor (http://en.wikipedia.org/wiki/Electromagnetic_tensor)


    2. Relevant equations

    /

    3. The attempt at a solution

    Don't even understand the meaning of "a scalar under the complete Lorentzgroup".

    Thanks for any help you can offer and a Merry Christmas to all of you!

    Trinitiet
     
  2. jcsd
  3. Dec 27, 2011 #2

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    What is a scalar in general and <under the restricted Lorentz group> ? Look this notion up in your notes.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Spinors and Lorentzgroups: representation of the complete Lorentzgroup?
  1. Help with spinor (Replies: 0)

  2. Spinor Problems (Replies: 0)

Loading...