Rolling with quantum fields

Abstract

We study the dynamics of a classical scalar field that rolls down a linear potential as it interacts bi-quadratically with a quantum field. We explicitly solve the dynamical problem by using the classical-quantum correspondence (CQC). Rolling solutions on the effective potential are shown to compare very poorly with the full solution. Spatially homogeneous initial conditions maintain their homogeneity and small inhomogeneities in the initial conditions do not grow.

10 pages, 8 figures; updated references; published in PRD with title "Rolling classical scalar field in a linear potential coupled to a quantum field"

References in corpus (7)

• Quantum Radiation of Oscillons
• A Classical-Quantum Correspondence and Backreaction
• Classical-Quantum Correspondence for Fields
• Semiclassical decay of topological defects
• Quantum Evaporation of Classical Breathers
• Thermal effects on slow-roll dynamics
• Classical-Quantum Correspondence and Hawking Radiation

Cited by in corpus (14)

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• Kink-antikink scattering in a quantum vacuum
• Resonance structures in kink-antikink scattering in a quantum vacuum
• Quantum Formation of Topological Defects
• Emergence of classical structures from the quantum vacuum
• Multi-field inflation from single-field models
• Quasiclassical solutions for static quantum black holes
• Quantum approach to a Bianchi I singularity
• Tunneling dynamics in cosmological bounce models
• Inflationary quantum dynamics and backreaction using a classical-quantum correspondence
• Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
• Tunneling dynamics of an oscillating universe model
• Evolution of a kink-antikink ensemble in a quantum vacuum
• Chaos in a tunneling universe