Nucleon mass and pion loops: renormalization
| dc.contributor.author | Oettel, M. | |
| dc.contributor.author | Thomas, A. | |
| dc.contributor.organisation | Special Research Centre for the Subatomic Structure of Matter | |
| dc.date.issued | 2002 | |
| dc.description.abstract | Using Dyson-Schwinger equations, the nucleon propagator is analyzed nonperturbatively in a field-theoretical model for the pion-nucleon interaction. Infinities are circumvented by using pion-nucleon form factors which define the physical scale. It is shown that the correct, finite, on-shell nucleon renormalization is important for the value of the mass shift and the propagator. For physically acceptable forms of the pion-nucleon form factor the rainbow approximation together with renormalization is inconsistent. Going beyond the rainbow approximation, the full pion-nucleon vertex is modeled by its bare part plus a one-loop correction including an effective Δ. It is found that a consistent value for the nucleon mass shift can be obtained as a consequence of a subtle interplay between wave function and vertex renormalization. Furthermore, the bare and renormalized pion-nucleon coupling constants are approximately equal, consistent with results from the cloudy bag model. | |
| dc.description.statementofresponsibility | M. Oettel and A. W. Thomas | |
| dc.identifier.citation | Physical Review C: Nuclear Physics, 2002; 66(6):065207-1-065207-8 | |
| dc.identifier.doi | 10.1103/PhysRevC.66.065207 | |
| dc.identifier.issn | 0556-2813 | |
| dc.identifier.issn | 1089-490X | |
| dc.identifier.orcid | Thomas, A. [0000-0003-0026-499X] | |
| dc.identifier.uri | http://hdl.handle.net/2440/11113 | |
| dc.language.iso | en | |
| dc.publisher | American Physical Soc | |
| dc.rights | ©2002 The American Physical Society | |
| dc.source.uri | https://doi.org/10.1103/physrevc.66.065207 | |
| dc.title | Nucleon mass and pion loops: renormalization | |
| dc.type | Journal article | |
| pubs.publication-status | Published |
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