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I am reading Wen's book, QFT of many-body systems ( @Xiao-Gang Wen ). I am a little confused about the orthogonal catastrophe introduced in Chap.5. Below Eq.(5.1.6), it is stated that ``the influence of the core electron on the conduction electron Green's function is not important...''.

If I understand correctly, it is exactly the (almost) vanishing overlap between the initial and final state wavefunctions of the conduction electrons that causes the orthogonal catastrophe. Why does the asumption that ``the influence of the core electron on the conduction electron Green's function is not important'' works?

Thanks in advance for any help.

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Try searhcing for "Anderson orthogonality catastrophy" –  Slaviks Mar 4 at 14:13
    
I cannot find a satisfactory answer by this search. Actually I know the basic idea of orthogonal catastrophe. What I don't understand is the seemingly different approach in Wen's book, which seems to work anyway. @Slaviks –  diraclear Mar 7 at 12:51

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