Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1995-04-05
Phys.Rev. D53 (1996) 3337-3353
Physics
Nuclear Physics
Nuclear Theory
33 pages standard LaTeX, 3 uuencoded gzipped postscript figures embedded with psfig.sty
Scientific paper
10.1103/PhysRevD.53.3337
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.
Rosenfelder R.
Schreiber Andreas W.
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