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Non-Equilibrium Large N Yukawa Dynamics: marching through the Landau pole | | Daniel Boyanovsky
; Hector J. de Vega
; Richard Holman
; Matthew R. Martin
; | | Date: |
13 Aug 2001 | | Journal: | Phys.Rev. D65 (2002) 045007 | | Subject: | hep-ph astro-ph hep-th | | Abstract: | 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. | | Source: | arXiv, hep-ph/0108113 | | Services: | Forum | Review | PDF | Favorites | |
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