Numerical study of multiparticle scattering in $\lambda {\varphi }^4$ theory

Abstract

We study numerically classical collisions of waves in $\lambda {\varphi }^4$ theory. These processes correspond to multiparticle scattering in the semiclassical regime. Parametrizing initial and final wavepackets by energy $E$ and particle numbers $N_i$, $N_f$ we find classically allowed region in the parameter space. We describe properties of the scattering solutions at the boundary of the classically allowed region. We comment on the implications of our results for multiparticle production in the quantum regime.

arXiv comment32 pages, 18 figures, journal version

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Cited by in corpus (5)

• Exploring High Multiplicity Amplitudes: The QM Analogue of the Spontaneously Broken Case
• The Breakdown of Resummed Perturbation Theory at High Energies
• Numerical study of multiparticle production in ${\varphi }^4$ theory: comparison with analytic results
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• Multiparticle Amplitudes in a Scalar EFT