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Albenian and nonalbenian

  1. Aug 13, 2007 #1
    i am have trouble understanding the difference between these two things and why is nonalbenian used in qft.
  2. jcsd
  3. Aug 13, 2007 #2


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    When we talk about abelian groups, it means :

    let a, b be elements of a group G. A group is abelian <--> ab = ba.

    Groups are constructed and utilized in field theory primarily b/c we notice the laws of nature satisfy certain symmetries called gauge transformations. For instance the U(1) gauge group of electromagnetism is an abelian group and its the simplest example of relevance in the standard model.

    Harder to deal with are nonabelian groups where the above property is not satisfied, and there are several examples (like QCD, where the gauge group is SU(3) -color).
  4. Aug 13, 2007 #3
    can operators be elements of a group?
  5. Aug 14, 2007 #4
    The elements of a set with some associated binary operation can be elements of a group if they satisfy the axioms of a group.
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