Order parameter evolution in scalar QFT: renormalization group resummation of secular terms
High Energy Physics - Theory
2009-10-30 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Abstract
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 lambda phi-fourth model. We adapt and use the renormalization group (RG) method for such non-linear and non-local 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 the time to the power -3/2. This limiting value is expressed as a function of the initial field amplitude.
Cite
@article{arxiv.hep-th/9701104,
title = {Order parameter evolution in scalar QFT: renormalization group resummation of secular terms},
author = {H. J. de Vega and J. F. J. Salgado},
journal= {arXiv preprint arXiv:hep-th/9701104},
year = {2009}
}
Comments
Latex file, 13 pages, no figures