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

I Scaling and the renormalization (sub)group

  1. Dec 31, 2016 #1
    I am aware of only two fields where the renormalization (sub)group ideas can be systematically and
    unambiguously applied: particle physics and equilibrium critical behaviour.

    1.- Are there any others?

    2.- What are these ideas used for in fluid mechanics?

    3.- When cosmologists speak about 'electroweak phase transition' what do they really mean? Is it just the fact
    that Higg's field vacuum expectation value changed to a non null value and its symmetry was spontaneously
    broken?

    I am not quite sure where I should be posting this.
     
  2. jcsd
  3. Jan 6, 2017 #2

    jambaugh

    User Avatar
    Science Advisor
    Gold Member

    1. There are general symmetry methods for differential equations which include scaling transformations to find first integrals. See e.g. Olver's "Application of Lie Groups to Differential Equations".

    2. I've not worked enough in the area of fluid mechanics to answer.

    3. I believe that's exactly it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted