Schwinger-Dyson equation help

  • Thread starter mhill
  • Start date
  • #1
188
1
in Pages 307-308 of Peskin and Schröeder we find

[tex] \delta S (< \Omega | T( \phi (x1) \phi(x2)..... \phi (xN) | \Omega >)= -\sum_{n=1}^{N}< \Omega | T( \phi (x1) \phi(x2)..i\delta (x-xi)... \phi (xN) | \Omega > [/tex]

they are the Schwinger Dyson equation for the correlation function , my question is , how could i use Wick's theorem to compute the quantity

[tex] < \Omega | T( \phi (x1) \phi(x2)..i\delta (x-xi)... \phi (xN) | \Omega > [/tex] for every 'i'

here [tex] \delta S [/tex] is the functional derivative of the action 'S'
 

Answers and Replies

  • #2
Avodyne
Science Advisor
1,396
88
Your first equation does not appear in P&S, and I don't understand what you mean by it. Referring to eq.(9.86) on p.307 of P&S, the delta function can be pulled outside the correlation function (since it is just a number, not an operator). Then you are left with a standard correlation function.
 
  • #3
thatis easy , pull the delta functions out of the correlator and then apply wick's theorm by writing out Green functions"feynman's propagators"
 

Related Threads on Schwinger-Dyson equation help

  • Last Post
Replies
1
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
17
Views
4K
Replies
3
Views
2K
Replies
1
Views
909
  • Last Post
Replies
2
Views
1K
Top