Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-01-18
Phys.Rev. D62 (2000) 025008
Physics
High Energy Physics
High Energy Physics - Phenomenology
Accepted for publication on Phys. Rev. D
Scientific paper
10.1103/PhysRevD.62.025008
The $\lambda \phi^4$ model in a finite volume is studied within a non-gaussian Hartree-Fock approximation (tdHF) both at equilibrium and out of equilibrium, with particular attention to the structure of the ground state and of certain dynamical features in the broken symmetry phase. The mean-field coupled time-dependent Schroedinger equations for the modes of the scalar field are derived and the suitable procedure to renormalize them is outlined. A further controlled gaussian approximation of our tdHF approach is used in order to study the dynamical evolution of the system from non-equilibrium initial conditions characterized by a uniform condensate. We find that, during the slow rolling down, the long-wavelength quantum fluctuations do not grow to a macroscopic size but do scale with the linear size of the system, in accordance with similar results valid for the large $N$ approximation of the O(N) model. This behavior undermines in a precise way the gaussian approximation within our tdHF approach, which therefore appears as a viable mean to correct an unlikely feature of the standard HF factorization scheme, such as the so-called ``stopping at the spinodal line'' of the quantum fluctuations. We also study the dynamics of the system in infinite volume with particular attention to the asymptotic evolution in the broken symmetry phase. We are able to show that the fixed points of the evolution cover at most the classically metastable part of the static effective potential.
Destri Claudio
Manfredini Emanuele
No associations
LandOfFree
An improved time-dependent Hartree-Fock approach for scalar φ^4 QFT does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An improved time-dependent Hartree-Fock approach for scalar φ^4 QFT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An improved time-dependent Hartree-Fock approach for scalar φ^4 QFT will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-429653