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I'm studying the book "String theory and M-theory." by Becker, Becker and Schwarz. Unfortunately, I don't understand really well the materials in Chapter 3 "conformal field theory and string interactions". I don't understand OPE (operator product expansion) concept and that why the OPE of a scalar field, like $X^{\mu}$, has the form $$X^{\mu}(z)X^{\nu}(w)=-\frac{1}{4}\eta^{\mu\nu}\ln (z-w)+\cdots $$ and why we sometimes compute $$\langle \partial X^{\mu}(z)\partial X^{\nu}(w)\rangle $$ the correlation function.

I would really appreciate if someone could introduce me to an easier book to understand them.

Could anyone explain to me how to compute the following? $$X^{\mu}(z)X^{\nu}(w)=-\frac{1}{4}\eta^{\mu\nu}\ln (z-w)+\cdots $$

I have trouble with details.

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    $\begingroup$ You should try “ Conformal Field Theory” bt Di Francesco (the yellow book). $\endgroup$
    – Gold
    Commented Nov 2 at 8:20
  • $\begingroup$ would you mind to quote the full book title please $\endgroup$ Commented Nov 2 at 8:25
  • $\begingroup$ @Gold Thank you so much. $\endgroup$
    – M.Ramana
    Commented Nov 2 at 9:01
  • $\begingroup$ @l4teLearner Sure. String theory and M-theory. $\endgroup$
    – M.Ramana
    Commented Nov 2 at 9:03
  • $\begingroup$ thanks. I meant to edit your question indicating the correct title. $\endgroup$ Commented Nov 2 at 9:05

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