Inclusion of radiation in the CCM approach of the ${\varphi }^4$ model

Abstract

We present an effective Lagrangian for the ${\varphi }^4$ model that includes radiation modes as collective coordinates. The coupling between these modes to the discrete part of the spectrum, i.e., the zero mode and the shape mode, gives rise to different phenomena which can be understood in a simple way in our approach. In particular, the energy transfer between radiation, translation and shape modes is carefully investigated in the single-kink sector. Finally, we also discuss the inclusion of radiation modes in the study of oscillons. This leads to relevant phenomena such as the oscillon decay and the kink-antikink creation.

arXiv comment32 pages, 12 figures

References in corpus (25)

• Oscillons: Resonant Configurations During Bubble Collapse
• Pseudo-Stable Bubbles
• More Axions from Strings
• The Large-Misalignment Mechanism for the Formation of Compact Axion Structures: Signatures from the QCD Axion to Fuzzy Dark Matter
• Fine Structure of Oscillons in the Spherically Symmetric ${\varphi }^4$ Klein-Gordon Model
• Radiation and Relaxation of Oscillons
• Small amplitude quasi-breathers and oscillons
• Radiation of scalar oscillons in 2 and 3 dimensions
• Computation of the radiation amplitude of oscillons
• Numerical Investigations of Oscillons in 2 Dimensions
• phi^4 Kinks - Gradient Flow and Dynamics
• Oscillons and Domain Walls
• Kink Moduli Spaces -- Collective Coordinates Reconsidered
• Oscillons and Dark Matter
• Negative radiation pressure exerted on kinks
• Wobbling kinks in ${\varphi }^4$ theory
• Oscillon of Ultra-Light Axion-like Particle
• Relativistic Moduli Space for Kink Collisions
• Exciting the Domain Wall Soliton
• The Simplest Oscillon and its Sphaleron
• The dynamics of Domain Wall Strings
• Creation of Kink and Antikink Pairs Forced By Radiation
• Oscillon spectroscopy
• Parametric Resonances in Axionic Cosmic Strings
• Interaction Between Kink and Radiation in ${\varphi }^4$ Model

Cited by in corpus (3)

• Bound States and Particle Production by Breather-Type Background Field Configurations
• Creation of Bound Half-Fermion Pairs by Solitons
• Scattering between orthogonally wobbling kinks