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Quantum Theory, propagator and causality, commutator

  1. Jul 19, 2017 #1
    1. The problem statement, all variables and given/known data

    commprop.png

    Question:

    To find/ explain why there exists a continous lorentz transformation that flips the sign for space-like seperation but not time-like.

    2. Relevant equations

    Signature ## (-,+,+...) ##

    Definition of lorentz transformation:

    ##x^u=\lambda^u_v x^v ##
    ##\eta_{uv}\lambda^u_p\lambda^v_{\sigma} = \eta_{p\sigma}##

    3. The attempt at a solution

    ##\Delta \eta_{uv} y^v x^u < 0## for time-like seperation
    ##\Delta \eta_{uv} y^v x^u > 0## for space-like seperation

    And I dont really know where to get started.

    Many thanks
     
  2. jcsd
  3. Jul 24, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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