Graduate Thesis Or Dissertation
 

Pion content in nucleon using finite renormalization scheme with spectral amplitude separation of ghosts

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/tq57nt221

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  • We develop a technique to express the nucleon pole strength and bare mass in terms of renormalized quantities. Starting from a general unrenormalized self energy we determine the bare mass and the pole strength. For determining the pion content of the nucleon we discuss the leading renormalization loop. We relate unrenormalized and renormalized self energies to express the nucleon pole strength and bare mass in terms of renormalized quantities. Through a spectral decomposition we are able to classify and exorcise the ghosts introduced in the renormalization process. In our specific examples, pseudovector and pseudoscalar itNN couplings, form factors regulate dispersion integrals making our calculations finite. Our results show a small pion content of only a few percent.
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