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Relativistic mean field theory: methods and applications


Wasson, David Allan (1990) Relativistic mean field theory: methods and applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/gs6h-m244.


We develop a method for performing one-loop calculations in finite systems that is based on using the WKB approximation for the high energy states. This approximation allows us to absorb all the counterterms analytically and thereby avoids the need for extreme numerical precision that was required by previous methods. In addition, the local approximation makes this method well suited for self-consistent calculations. We then discuss the application of relativistic mean field methods to the atomic nucleus. Self-consistent, one loop calculations in the Walecka model are performed and the role of the vacuum in this model is analyzed. This model predicts that vacuum polarization effects are responsible for up to five percent of the local nucleon density. Within this framework the possible role of strangeness degrees of freedom is studied. We find that strangeness polarization can increase the kaon-nucleus scattering cross section by ten percent. By introducing a cutoff into the model, the dependence of the model on short-distance physics, where its validity is doubtful, is calculated. The model is very sensitive to cutoffs around one GeV.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics, Relativistic, field theory
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Koonin, Steven E.
Thesis Committee:
  • Unknown, Unknown
Defense Date:23 June 1989
Funding AgencyGrant Number
AT&T Bell LaboratoriesUNSPECIFIED
Record Number:CaltechTHESIS:03182015-112613348
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8785
Deposited By: Dan Anguka
Deposited On:18 Mar 2015 20:08
Last Modified:09 Nov 2022 19:20

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