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

Z symmetry

  1. Sep 13, 2014 #1
    Hi all,

    Have any one heard about a symmetry called " Z symmetry " . It's considered a discrete symmetry, in which terms at a Lagrangian for example can take "Z charges" 0, 1 or +1 to be invariant or non-invariant under this symmetry ..

    I heard about before, but I try to find any reference for it. I found only rotational groups like ##Z_2## and ##Z_4##.

    Best,
    S.
     
  2. jcsd
  3. Sep 13, 2014 #2

    ChrisVer

    User Avatar
    Gold Member

    what about it?
     
  4. Sep 13, 2014 #3
    I need a reference about ,
    also I don't remember exactly, when we give "Z charges " for the fields in a term like say : ## d^c e^+ \phi ##, when
    this term is invariant or not invariant under this symmetry.
     
  5. Sep 14, 2014 #4

    ChrisVer

    User Avatar
    Gold Member

    if you try to do a discrete symmetry, in front of your terms you will have:
    [itex](-1)^{\sum_i Q_i}[/itex]
    invariant is when it's plus (so you have the same result)
    not invariant if it's minus (because you got a minus in front).
    It's pretty similar to a U(1) symmetry, because a broken U(1) gives you the Z2.

    Now I guess, if you have a Z_N group, looking at it as the Nth root of unity, then in order to be invariant it has to belong to the identity again...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Z symmetry
  1. Symmetry factor (Replies: 3)

Loading...