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Homework Help: Srednicki problem (8.8)

  1. Oct 29, 2007 #1
    1. The problem statement, all variables and given/known data
    Srednicki problem (8.8)

    Under a free-field theory, calculate <A|0> , where |A> is the real sclar field's eigenket

    2. Relevant equations


    3. The attempt at a solution

    I am trying to write <A|0> into path integral formulation, but it is hard.
     
  2. jcsd
  3. Nov 5, 2007 #2

    Avodyne

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    Science Advisor

    As a function of momentum (rather than position), a free field is just a collection of harmonic oscillators. So for a given momentum mode, the ground state wave functional is just an appropriate gaussian. Then take a product over momentum modes, and convert the product of exponentials into the exponential of a sum (=integral).
     
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