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

Fábio L. Braghin·Fernando S. Navarra
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Abstract

A time dependent variational approach is used to derive the equations of motion for the λϕ^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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Fábio L. Braghin, Fernando S. Navarra. 2001-03-28. Space-time evolution of the \lap model: classical and quantum aspects. https://doi.org/10.1016/s0370-2693(01)00543-3

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