Date Awarded
1999
Document Type
Dissertation
Degree Name
Doctor of Philosophy (Ph.D.)
Department
Physics
Advisor
John D Walecka
Abstract
The linear sigma model and its extension, Quantum Hadro-dynamics 3 (QHD-III) are discussed. QHD-III is a gauge-invariant model of the strong interaction based on the linear sigma model, which is made locally invariant under SU(2)L x SU(2)R. Parity conservation is imposed. The gauge bosons rho and a1 are made massive via a Higgs mechanism as in the standard model. The low-energy symmetries of QCD, the ability to evaluate corrections coming from meson loops and the derivation of unambiguous conserved currents is used to motivate QHD-III. A renormalized pipi scattering amplitude to 1-loop using Feynman diagrams in the linear sigma-model is derived. The renormalized corrections due to vector boson exchange are also calculated in QHD-III and explicitly shown to be negligible when their masses become large. The pion decay constant to 1-loop is also calculated and discussed. The gauge invariance of the theory is analyzed and exploited to identify the physical pion and to considerably simplify the QHD-III lagrangian. The 1-loop effective action of the linear sigma model is derived and its predictions are shown to be identical to the amplitudes calculated using Feynman diagrams. The 1-loop effective action of QHD-III is discussed and shown to provide an explicit proof of the decoupling theorem.
DOI
https://dx.doi.org/doi:10.21220/s2-zpqf-dx81
Rights
© The Author
Recommended Citation
Prezeau, Gary Marcel, "One loop corrections to a hadronic model with vector mesons" (1999). Dissertations, Theses, and Masters Projects. William & Mary. Paper 1539623951.
https://dx.doi.org/doi:10.21220/s2-zpqf-dx81
