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Modification of Energy-Momentum Relation and UV/IR mixing

  1. May 4, 2008 #1
    >From a seminar, I heard that energy-momentum relation (E^2=m^2+p^2) is
    modified by UV/IR mxing.
    In other words, the speaker claimed that the lowest energy is achived
    not by zero momentum, but by non-zero momentum. Could somebody refer
    me to a relevant paper?

    Thanks in advance

    Youngsub
     
  2. jcsd
  3. May 6, 2008 #2
    On May 3, 5:20 pm, youngs...@gmail.com wrote:
    > From a seminar, I heard that energy-momentum relation (E^2=m^2+p^2) is
    > modified by UV/IR mxing.
    > In other words, the speaker claimed that the lowest energy is achived
    > not by zero momentum, but by non-zero momentum. Could somebody refer
    > me to a relevant paper?


    Sorry, I'm not sure I can refer you to immediately relevant papers.
    The concept of UV/IR mixing that I've seen came up in the context of
    non-commutative field theory. That is, field theory defined on a space-
    time where coordinates do not commute. A standard reference for
    physicists is a paper by Douglass & Nekrasov [1]. The mathematical
    principles of non-commutative spaces are founded in the non-
    commutative geometry of Alain Connes [2]. You may find some useful
    information in these references.

    Hope this helps.

    Igor

    [1] Douglass & Nekrasov, Noncommutative field theory,
    Rev. Mod. Phys. 73, pp.977-1029 (2001)
    [2] Connes, Noncommutative Geometry, Academic Press (1994)
     
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