Non-Perturbative Production of Multi-Boson States and Quantum Bubbles

Abstract

The amplitude of production of $n$ on-mass-shell scalar bosons by a highly virtual field $\varphi$ is considered in a $\lambda {\varphi }^4$ theory with weak coupling $\lambda$ and spontaneously broken symmetry. The amplitude of this process is known to have an $n!$ growth when the produced bosons are exactly at rest. Here it is shown that for $n\gg 1/\lambda$ the process goes through `quantum bubbles', i.e. quantized droplets of a different vacuum phase, which are non-perturbative resonant states of the field $\varphi$. The bubbles provide a form factor for the production amplitude, which rapidly decreases above the threshold. As a result the probability of the process may be heavily suppressed and may decrease with energy $E$ as $\exp (-const\cdot E^a)$, where the power $a$ depends on the number of space dimensions. Also discussed are the quantized states of bubbles and the amplitudes of their formation and decay.

20 pages in LaTeX + 3 figures (fugures not included, hardcopy available on request), TPI-MINN-93/20-T

References in corpus (4)

• Summing tree graphs at threshold
• Summing One-Loop Graphs at Multi-Particle Threshold
• Summing one-loop graphs in a theory with broken symmetry
• Some Properties of Amplitudes at Multi Boson Thresholds in Spontaneously Broken Scalar Theory

Cited by in corpus (37)

• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Exponentiation of Multiparticle Amplitudes in Scalar Theories
• Entropy Bound and Unitarity of Scattering Amplitudes
• On the Chiral Magnetic Effect in Soft-Wall AdS/QCD
• Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent
• Catalyzed decay of false vacuum in four dimensions
• Theoretical direct WIMP detection rates for transitions to excited states
• Large Deviations in the Early Universe
• Review of the semiclassical formalism for multiparticle production at high energies
• Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies
• The Higgsploding Universe
• Multiparticle Higgs and Vector Boson Amplitudes at Threshold
• Black-Hole-Like Saturons in Gross-Neveu
• Decay of an inhomogeneous state via resonant tunnelling
• Multiparticle production in the large lambda n limit: Realising Higgsplosion in a scalar QFT
• Tree amplitudes at multiparticle threshold in a model with softly broken $O(2)$ symmetry
• Inconsistencies of higgsplosion
• Problems with Higgsplosion
• Remarks on Decay of Defects with Internal Degrees of Freedom
• Instanton - like transitions at high energies in (1+1) dimensional scalar models. II.Classically allowed induced vacuum decay
• Precision measurements for the Higgsploding Standard Model
• Diagrammatic computation of multi-Higgs processes at very high energies: scaling F holy grail with MadGraph
• Effects of Amplitude Nullification in the Standard Model
• Loops with heavy particles in multi Higgs production amplitudes
• Searching for Dark Matter- Theoretical Rates and Exclusion Plots due to the Spin
• Measuring the Higgsplosion Yield: Counting Large Higgs Multiplicities at Colliders
• A Higgsploding Theory of Dark Matter
• Semiclassical computation of quantum effects in multiparticle production at large lambda n
• Predicted modulated differential rates for direct WIMP searches at low energy transfers
• On heavy states in supersymmetric gluodynamics at large N
• BPS solutions for generalised Wess-Zumino models and their applications
• Multiparticle Amplitudes in a Scalar EFT
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• Flux-Tube Formation and Holographic Tunneling
• Similarities in the evaporation of saturated solitons and black holes
• A Remark on Supersymmetric Bubbles and Spectrum Crossover
• On Infrared Universality in Massive Theories. Another Example