In reading about the axial anomaly I stumbles across a matrix element on the form(adsbygoogle = window.adsbygoogle || []).push({});

$$\langle p,k|j^{\mu 53}|0\rangle. $$

and I have seen similar matrix elements turn up other places. But when matrix elements (correlation functions) of the form

$$ \langle 0 |T \phi(x) \phi(y)|0\rangle $$

have the interpretation of the probability amplitude of the field to create a particle and propagate between x and y, aswell as the relevance of being essential in computation of the S-matrix elements; I have not read about the relevance, nor the interpretation of current matrix elements like the one above.

I can guess that their interpretation is something like the amplitude for a current creating particles.. but where are they relevant in terms of calculating physical quantities?

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# Interpretation and relevance of current matrix element

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