dorsal/arxiv
View SchemaQCD sum rules for nucleon two-point function in nuclear medium
| Authors | S. Mallik, Hiranmaya Mishra |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410117 |
| URL | https://arxiv.org/abs/nucl-th/0410117 |
Abstract
We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the two-point function as the sum of a nucleon pole term and a spectral integral over the high energy continuum. We also point out that it is the energy variable and not its square that must be used in writing the dispersion integrals. The sum rules are obtained by equating terms linear in nucleon number density of the spectral and operator representations of the correlation function. We use them to predict the curent-nucleon coupling, in good agreement with the value known from the vacuum sum rules. They also predict a definite deviation of the four-quark condensate from its ground state saturation value.
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"date_created": "2026-03-02T18:00:01.377000Z",
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"abstract": "We derive QCD sum rules from the nucleon two-point function in nuclear\nmedium, calculating its specral function in chiral perturbation theory to one\nloop. Our calculation shows the inadequacy of the commonly used ansatz to\nrepresent the two-point function as the sum of a nucleon pole term and a\nspectral integral over the high energy continuum. We also point out that it is\nthe energy variable and not its square that must be used in writing the\ndispersion integrals. The sum rules are obtained by equating terms linear in\nnucleon number density of the spectral and operator representations of the\ncorrelation function. We use them to predict the curent-nucleon coupling, in\ngood agreement with the value known from the vacuum sum rules. They also\npredict a definite deviation of the four-quark condensate from its ground state\nsaturation value.",
"arxiv_id": "nucl-th/0410117",
"authors": [
"S. Mallik",
"Hiranmaya Mishra"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "QCD sum rules for nucleon two-point function in nuclear medium",
"url": "https://arxiv.org/abs/nucl-th/0410117"
},
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