Fermion pairing dynamics in the relativistic scalar plasma
Abstract
Using manybody techniques we obtain the timedependent Gaussian approximation for interacting fermionscalar field models. This method is applied to a uniform system of relativistic spin1/2 fermion field coupled, through a Yukawa term, to a scalar field in 3+1 dimensions, the socalled quantum scalar plasma model. The renormalization for the resulting Gaussian meanfield equations, both static and dynamical, are examined and initial conditions discussed. We also investigate solutions for the gap equation and show that the energy density has a single minimum.
 Publication:

Physical Review D
 Pub Date:
 December 1999
 DOI:
 10.1103/PhysRevD.60.125013
 arXiv:
 arXiv:hepth/9805060
 Bibcode:
 1999PhRvD..60l5013T
 Keywords:

 11.10.Gh;
 11.10.Lm;
 21.60.Jz;
 Renormalization;
 Nonlinear or nonlocal theories and models;
 HartreeFock and randomphase approximations;
 High Energy Physics  Theory
 EPrint:
 21 pages, latex, 4 postscript figures, new sections, some literary changes, notation corrections, accepted for publication in Phys. Rev D