Space-time evolution of the \lap model: classical and quantum aspects

Details Space-time evolution of the \lap model: classical and quantum aspects Space-time evolution of the \lap model: classical and quantum aspects

2001-03-28

arxiv.org/abs/hep-ph/0103303v1

Phys.Lett. B508 (2001) 243-250

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages latex plus five figures .eps. Report:1460/2001IF-USP

Scientific paper

10.1016/S0370-2693(01)00543-3

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.

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