Abstract
We extend a method proposed by Redmond for the elimination of the Landau ghost in meson propagators to meson-nucleon field theories at finite density. This method is based on the perturbative calculation under the requirement of the correct analytic properties of the propagators expressed by the Källén-Lehmann representation. Using the dispersion relation technique based on the general framework of perturbation theory, the analytic structure of the meson propagators is clarified, and it is proved that the modified propagators obtained by our method are in fact free of the Landau ghost. We also construct the effective action incorporating our ghost free propagators and obtain the modified energy density of nuclear matter. Examples in the 1-loop case are presented. As an application, we derive the electromagnetic response function from our modified effective action, employing the generalized vector meson dominance principle. The RPA Coulomb response function using the ghost free meson propagators is calculated in nuclear matter and the effects of the ghost elimination are discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
