Kinks in the Hartree approximation

Abstract

The topological defects of the lambda phi^4 theory, kink and antikink, are studied in the Hartree approximation. This allows us to discuss quantum effects on the defects in both stationary and dynamical systems. The kink mass is calculated for a number of parameters, and compared to classical, one loop and Monte Carlo results known from the literature. We discuss the thermalization of the system after a kink antikink collision. A classical result, the existence of a critical speed, is rederived and shown for the first time in the quantum theory. We also use kink antikink collisions as a very simple toy model for heavy ion collisions and discuss the differences and similarities, for example in the pressure. Finally, using the Hartree Ensemble Approximation allows us to study kink antikink nucleation starting from a thermal (Bose Einstein) distribution. In general our results indicate that on a qualitative level there are few differences with the classical results, but on a quantitative level there are some import ones.

20 pages REVTeX 4, 17 Figures. Uses amsmath.sty and subfigure.sty. Final version, fixed typo in published version

References in corpus (20)

• Far-from-equilibrium dynamics with broken symmetries from the 2PI-1/N expansion
• Energy dependence of particle multiplicities in central Au+Au collisions
• Kink dynamics in a novel discrete sine-Gordon system
• Topological discrete kinks
• Quantum dynamics of phase transitions in broken symmetry $\lambda {\varphi }^4$ field theory
• Long-Lived Localized Field Configurations in Small Lattices: Application to Oscillons
• Dynamics of Kinks: Nucleation, Diffusion and Annihilation
• A discrete phi^4 system without Peierls-Nabarro barrier
• Thermalization in a Hartree Ensemble Approximation to Quantum Field dynamics
• Generalized Zeta Functions and One-loop Corrections to Quantum Kink Masses
• Statistical Mechanics of Kinks in (1+1)-Dimensions: Numerical Simulations and Double Gaussian Approximation
• Statistical Mechanics of Kinks in (1+1)-Dimensions
• Evolution of Inhomogeneous Condensates: Self-consistent Variational Approach
• Staying Thermal with Hartree Ensemble Approximations
• Renormalization Group Study of the soliton mass on the (lambda Phi^4)_{1+1} lattice model
• The Hartree ensemble approximation revisited: The "symmetric phase"
• Hydrodynamic scaling from the dynamics of relativistic quantum field theory
• Lattice study of the Kink soliton and the zero-mode problem for phi4 in two dimensions
• Kink Dynamics in a Topological Phi^4 Lattice
• Field dynamics and kink-antikink production in rapidly expanding systems

Cited by in corpus (11)

• Tachyonic preheating using 2PI-1/N dynamics and the classical approximation
• Equilibration in phi^4 theory in 3+1 dimensions
• Wobbling kinks in ${\varphi }^4$ theory
• Renormalised nonequilibrium quantum field theory: scalar fields
• A transition in the spectrum of the topological sector of ${\varphi }_2^4$ theory at strong coupling
• Semiclassical decay of topological defects
• On the quantum stability of Q-balls
• Non-topological solitons and quasi-solitons
• Dressing Up the Kink
• One-loop results for kink and domain wall profiles at zero and finite temperature
• The 2PI finite temperature effective potential of the O(N) linear sigma model in 1+1 dimensions, at next-to-leading order in 1/N