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A combinatoric procedure in QFT of reducing arbitrary products of creation and annihilation operators to sums of products of pairs of these operators. A string of such operators is rewritten as the normal-ordered product of the string, plus the normal-ordered product after all single contractions among operator pairs, plus all double contractions, etc., plus all full contractions.

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Normal ordered product of $4$ scalar fields $X^\mu$

I'm trying to get more familiarity with the conformal normal ordering used in Polchinski's String Theory vol. 1 and I'm currently trying to solve problem $2.2$ which asks to prove that the normal orde …
Генивалдо's user avatar
4 votes
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174 views

Trying to derive Polchinski's equation $(2.2.11)$

I'm having trouble to derive Polchinski's equation $(2.2.11)$ which is an example of product of normal ordered product of $\partial X^\mu$. Precisely, Polchinski defines the product of normal ordered …
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