Space-time evolution of the \lap model: classical and quantum aspects
High Energy Physics - Phenomenology
2009-11-07 v1
Abstract
A time dependent variational approach is used to derive the equations of motion for the \lambda \phi^4 model. The simultaneous evolution of the quantum fluctuations and of the classical part of the field is considered in a lattice of 1+1 dimensions. Different initial conditions corresponding to non equilibrium situations are considered and evolved in time. Such high energy localized configurations expand in the lattice by ``bumps'' which may change with time. The quantum fluctuations make the peaks be smoother and the expansion faster.
Cite
@article{arxiv.hep-ph/0103303,
title = {Space-time evolution of the \lap model: classical and quantum aspects},
author = {Fábio L. Braghin and Fernando S. Navarra},
journal= {arXiv preprint arXiv:hep-ph/0103303},
year = {2009}
}
Comments
12 pages latex plus five figures .eps. Report:1460/2001IF-USP