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Connection between Scalar fields and Field Thoeries

  1. Feb 27, 2007 #1
    What's going on?

    I have been trying to determine the relationship between scalar field and fields used in field theories. In many quantum fields texts a field is built upon the notion of a string with an infinite number of particles separated by a small distance which we let go to zero. Then it is conjectured that a field is a system with infinitely many degrees of freedom which is strange when one considers that each particles position has a relationship with it's local neighbors but that's another thread.

    I don't see the connection between an ordinary mathematical scalar field which maps R^n -> R and the notion of a system with infinitely many degrees of freedom. Is there a relationship or are these two completely unrelated concepts?

    Thanks a Million

  2. jcsd
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