Order parameter evolution in scalar QFT: renormalization group resummation of secular terms

Details Order parameter evolution in scalar QFT: renormalization group resummation of secular terms Order parameter evolution in scalar QFT: renormalization group resummation of secular terms

1997-01-21

arxiv.org/abs/hep-th/9701104v1

Phys.Rev. D56 (1997) 6524-6532

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 13 pages, no figures

Scientific paper

10.1103/PhysRevD.56.6524

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.

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