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Mathematical motivation of OPE?

+ 6 like - 0 dislike
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In Peskin & Schroeder (and also Cheng which I have skimmed through) they motivate the Operator Product Expansion with a lot of words.

Is there any way to motivate it mathematically, e.g. Taylor expansion or similar?

This post imported from StackExchange Physics at 2014-08-07 15:38 (UCT), posted by SE-user Love Learning
asked Feb 7, 2014 in Theoretical Physics by Love Learning (165 points) [ no revision ]
The wiki link that Qmechanic added suggests a Laurent series expansion is employed.

This post imported from StackExchange Physics at 2014-08-07 15:38 (UCT), posted by SE-user Kyle Kanos
The Wikipedia page links to the Scholarpedia page on OPEs -- scholarpedia.org/article/Operator_product_expansion

This post imported from StackExchange Physics at 2014-08-07 15:38 (UCT), posted by SE-user Siva
Look at the David Tong's lectures on String theory, where he discusses OPE in the section devoted to CFTs. In brief, OPE is just the Laurent expansion.

This post imported from StackExchange Physics at 2014-08-07 15:38 (UCT), posted by SE-user Edvard
Thanks guys, I'll check them out.

This post imported from StackExchange Physics at 2014-08-07 15:38 (UCT), posted by SE-user Love Learning

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