Out of Equilibrium Non-perturbative Quantum Field Dynamics in Homogeneous External Fields

Abstract

The quantum dynamics of the symmetry broken lambda (Phi^2)^2 scalar field theory in the presence of an homogeneous external field is investigated in the large N limit. We choose as initial state the ground state for a constant external field J .The sign of the external field is suddenly flipped from J to - J at a given time and the subsequent quantum dynamics calculated. Spinodal instabilities and parametric resonances produce large quantum fluctuations in the field components transverse to the external field. This allows the order parameter to turn around the maximum of the potential for intermediate times. Subsequently, the order parameter starts to oscillate near the global minimum for external field - J, entering a novel quasi-periodic regime.

LaTex, 30 pages, 12 .ps figures, improved version to appear in Phys Rev D

References in corpus (1)

• Ising-like dynamical signatures and the end-point of the QCD transition line

Cited by in corpus (13)

• Low-cost fermions in classical field simulations
• Renormalised nonequilibrium quantum field theory: scalar fields
• Semiclassical decay of topological defects
• The quantum inflaton, primordial perturbations and CMB fluctuations
• Quantum slow-roll and quantum fast-roll inflationary initial conditions: CMB quadrupole suppression and further effects on the low CMB multipoles
• Quantum quenches during inflation
• Out of equilibrium quantum field dynamics of an initial thermal state after a change in the external field
• Non-equilibrium properties of the S=1/2 Heisenberg model in a time-dependent magnetic field
• Noise-induced phase transitions in field-dependent relaxational dynamics: The Gaussian ansatz
• Real-time Quantum evolution in the Classical approximation and beyond
• Out of equilibrium quantum field dynamics in external fields
• Non-linear effects in early Universe cosmology
• Quantum inflaton, primordial metric perturbations and CMB fluctuations