1997/01/21 by H. J. de Vega, J. Salgado, J. F. J. Salgado
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.56.6524
published as Phys.Rev. D56 (1997) 6524-6532 · Latex file, 13 pages, no figures
arxiv created 1997/01/21 · openalex publication_date 1997/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The quantum evolution equations for the field expectation value are analytically solved to cubic order in the field amplitude and to one-loop level in the \ensuremathλ\ensuremathφ4 model. We adapt and use the renormalization group (RG) method for such nonlinear and nonlocal equations. The time dependence of the field expectation value is explicitly derived integrating the RG equations. It is shown that the field amplitude for late times approaches a finite limit as O(t^\ensuremath-3/2). This limiting value is expressed as a function of the initial field amplitude.