Numerical study of multiparticle production in ${\varphi }^4$ theory: comparison with analytic results

Abstract

We develop a numerical method to compute the probabilities of multiparticle production in weakly coupled scalar theories. Our technique is based on D.T. Son's semiclassical method of singular solutions. Applying it to the process $1\to n$ in the unbroken four-dimensional $\lambda {\varphi }^4$ theory, we reproduce the known results at $1\ll n\ll {\lambda }^{-1}$.

arXiv comment4 pages, 3 figures, accepted in JETP Letters

References in corpus (17)

• Summing tree graphs at threshold
• Semiclassical approach for multiparticle production in scalar theories
• Exponentiation of Multiparticle Amplitudes in Scalar Theories
• Summing One-Loop Graphs at Multi-Particle Threshold
• Non-Perturbative Isotropic Multi-Particle Production in Yang--Mills Theory
• Higgsplosion: Solving the Hierarchy Problem via rapid decays of heavy states into multiple Higgs bosons
• The Semiclassical Description of Tunneling in Scattering with Multiple Degrees of Freedom
• Review of the semiclassical formalism for multiparticle production at high energies
• O(4) symmetric singular solutions and multiparticle cross sections in ${\varphi }^4$ theory at tree level
• Inconsistencies of higgsplosion
• Signatures of unstable semiclassical trajectories in tunneling
• Problems with Higgsplosion
• Exploring High Multiplicity Amplitudes in Quantum Mechanics
• Use of singular classical solutions for calculation of multiparticle cross sections in field theory
• Loops with heavy particles in multi Higgs production amplitudes
• Exploring High Multiplicity Amplitudes: The QM Analogue of the Spontaneously Broken Case
• Numerical study of multiparticle scattering in $\lambda {\varphi }^4$ theory

Cited by in corpus (3)

• Numerical study of multiparticle production in $\lambda {\varphi }^4$ theory
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• Multiparticle Amplitudes in a Scalar EFT