1995/04/05 by L. Feld, R. Rosenfelder, Andreas Schreiber +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Classical mechanics #Cosmology and Gravitation Theories #Effective action #Electron #Feynman diagram #Mathematical physics #Nucleon #Particle physics #Physics #Polaron #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Scalar field #Scalar field theory #Yukawa potential #nucl-th
paper · pdf · doi:10.1103/physrevd.53.3337
published as Phys.Rev. D53 (1996) 3337-3353 · 33 pages standard LaTeX, 3 uuencoded gzipped postscript figures embedded with psfig.sty
arxiv created 1995/04/05 · openalex publication_date 1996/03/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We apply nonperturbative variational techniques to a relativistic scalar field theory in which heavy bosons (``nucleons'') interact with light scalar mesons via a Yukawa coupling. Integrating out the meson field and neglecting the nucleon vacuum polarization, one obtains an effective action in terms of the heavy particle coordinates which is nonlocal in the proper time. As in Feynman's polaron approach, we approximate this action by a retarded quadratic action whose parameters are to be determined variationally on the pole of the two-point function. Several Ans"atze for the retardation function are studied and for the most general case we derive a system of coupled variational equations. An approximate analytic solution displays the instability of the system for coupling constants beyond a critical value. \textcopyright 1996 The American Physical Society.