Soliton pair creation in classical wave scattering

Abstract

We study classical production of soliton-antisoliton pairs from colliding wave packets in (1+1)-dimensional scalar field model. Wave packets represent multiparticle states in quantum theory; we characterize them by energy E and particle number N. Sampling stochastically over the forms of wave packets, we find the entire region in (E,N) plane which corresponds to classical creation of soliton pairs. Particle number is parametrically large within this region meaning that the probability of soliton-antisoliton pair production in few-particle collisions is exponentially suppressed.

16 pages, 8 figures, journal version; misprint corrected

References in corpus (3)

• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• An Electroweak Oscillon
• Creating kinks from particles

Cited by in corpus (12)

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• Semiclassical description of soliton-antisoliton pair production in particle collisions
• Soliton Creation with a Twist
• Numerical study of multiparticle scattering in $\lambda {\varphi }^4$ theory
• Creating kinks with quantum mediation
• Numerical Exploration of Soliton Creation
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model