Simplest oscillon and its sphaleron
N. S. Manton, T. Romańczukiewicz
Abstract
Oscillons in a simple, one-dimensional scalar field theory with a cubic potential are discussed. The theory has a classical sphaleron, whose decay generates a version of the oscillon. A good approximation to the small-amplitude oscillon is constructed explicitly using the asymptotic expansion of Fodor et al., but for larger amplitudes a better approximation uses the discrete, unstable, and stable deformation modes of the sphaleron.
Topics & Concepts
SphaleronAmplitudePhysicsScalar fieldField theory (psychology)Scalar field theoryScalar (mathematics)Classical mechanicsQuantum electrodynamicsSimple (philosophy)Quantum mechanicsMathematical physicsMathematicsPhase transitionGeometryQuantumBaryogenesisEpistemologyPhilosophyQuantum gravityQuantum Electrodynamics and Casimir EffectCold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamics