ivantheczar
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On the book Conformal Field Theory by Francesco, Mathieu and Senechal (the yellow book), in the derivation of the propagator kernel K(\delta t,\xi,\xi') on (2.73), the signs on the first and second line just doesn't match.
On first line it has -\xi^+ T \xi'-{\xi'}^+ T \xi' while the second line, after simplifying, has \xi^+ T \xi'-{\xi'}^+ T \xi', which is necessary to identify the term with the derivatives.
However, tracing back up to the definition of the properties of the coherent states, I cannot find any way to fix this sign. Does anyone has encounter this part and have a solution?
(For those without the book, the page is attached)
On first line it has -\xi^+ T \xi'-{\xi'}^+ T \xi' while the second line, after simplifying, has \xi^+ T \xi'-{\xi'}^+ T \xi', which is necessary to identify the term with the derivatives.
However, tracing back up to the definition of the properties of the coherent states, I cannot find any way to fix this sign. Does anyone has encounter this part and have a solution?
(For those without the book, the page is attached)