Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-08-13
Phys.Rev. D65 (2002) 045007
Physics
High Energy Physics
High Energy Physics - Phenomenology
36 pages, 14 figures, LaTeX, submitted to Physical Review D
Scientific paper
10.1103/PhysRevD.65.045007
The non-equilibrium dynamics of a Yukawa theory with N fermions coupled to a scalar field is studied in the large N limit with the goal of comparing the dynamics predicted from the renormalization group improved effective potential to that obtained including the fermionic backreaction. The effective potential is of the Coleman-Weinberg type. Its renormalization group improvement is unbounded from below and features a Landau pole. When viewed self-consistently, the initial time singularity does not arise. The different regimes of the dynamics of the fully renormalized theory are studied both analytically and numerically. Despite the existence of a Landau pole in the model, the dynamics of the mean field is smooth as it passes the location of the pole. This is a consequence of a remarkable cancellation between the effective potential and the dynamical chiral condensate. The asymptotic evolution is effectively described by a quartic upright effective potential. In all regimes, profuse particle production results in the formation of a dense fermionic plasma with occupation numbers nearly saturated up to a scale of the order of the mean field. This can be interpreted as a chemical potential. We discuss the implications of these results for cosmological preheating.
Boyanovsky Daniel
de Vega Hector J.
Holman Richard
Martin Matthew R.
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