The Hartree ensemble approximation revisited: The "symmetric phase"

Abstract

The Hartree ensemble approximation is studied in the ``symmetric phase'' of 1+1 dimensional lambda phi^4 theory. In comparison with the ``broken phase'' studied previously, it is shown that the dynamical evolution of observables such as the particle distribution, energy exchange and auto-correlation functions, is substantially slower. Approximate thermalization is found only for relatively large energy densities and couplings.

17 pages RevTeX, 16 figures, 3 tables, uses amsmath and feynmp. Extended some sections, reordered Sec.IV, added 3 refs, numerical typo corrected, published version

References in corpus (4)

• Nonequilibrium time evolution of the spectral function in quantum field theory
• Thermalization in a Hartree Ensemble Approximation to Quantum Field dynamics
• Staying Thermal with Hartree Ensemble Approximations
• Dynamical behavior of spatially inhomogeneous relativistic $\lambda {\varphi }^4$ quantum field theory in the Hartree approximation

Cited by in corpus (11)

• Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• Equilibration in phi^4 theory in 3+1 dimensions
• W and Higgs particle distributions during electroweak tachyonic preheating
• Low-cost fermions in classical field simulations
• Ultraviolet cascade in the thermalization of the classical phi^4 theory in 3+1 dimensions
• Topological defect formation from 2PI effective action techniques
• Kinks in the Hartree approximation
• The renormalized and Renormalization-Group invariant Hartree-Fock approximation
• Nonequilibrium Evolution of Correlation Functions: A Canonical Approach
• Improved Hartree--Fock resummations and spontaneous symmetry breaking