• Corpus ID: 237385951

The Breakdown of Resummed Perturbation Theory at High Energies

@inproceedings{Schenk2021TheBO,
  title={The Breakdown of Resummed Perturbation Theory at High Energies},
  author={Sebastian Schenk},
  year={2021}
}
Calculations of high-energy processes involving the production of a large number of particles in weakly-coupled quantum field theories have previously signaled the need for novel nonperturbative behavior or even new physical phenomena. In some scenarios, already tree-level computations may enter the regime of large-order perturbation theory and therefore require a careful investigation. We demonstrate that in scalar quantum field theories with a unique global minimum, where suitably resummed… 

Figures from this paper

References

SHOWING 1-10 OF 73 REFERENCES
Exploring high multiplicity amplitudes: The quantum mechanics analogue of the spontaneously broken case
Calculations of high multiplicity Higgs amplitudes exhibit a rapid growth that may signal an end of perturbative behavior or even the need for new physics phenomena. As a step towards this problem we
On the high-energy behavior of weakly-coupled gauge theories
Abstract Motivated by recent investigations in sphaleron physics, we discuss several ways in which even weakly-coupled gauge theories, like the standard model, show non-perturbative features at
Simple non-perturbative resummation schemes beyond mean-field: case study for scalar ϕ4 theory in 1+1 dimensions
A bstractI present a sequence of non-perturbative approximate solutions for scalar ϕ4 theory for arbitrary interaction strength, which contains, but allows to systematically improve on, the familiar
Semiclassical computation of quantum effects in multiparticle production at large lambda n.
We use the semiclassical formalism based on singular solutions in complex time to compute scattering rates for multiparticle production at high energies. In a weakly coupled $\lambda \phi^4$ scalar
Semiclassical approach to multiparticle production
Abstract We use singular euclidean solutions to calculate semiclassically the cross sections for the production of some coherent multiparticle states in quantum field theories. In the weakly coupled
Estimate of the onset of non-perturbative particle production at high energy in a scalar theory
Abstract A rigorous lower bound is obtained on the growth of the imaginary part of the propagator of the field φ in λφ 4 theory at large time-like q 2 as given by the tree graphs. The bound suggests
Perturbative growth of high-multiplicity W, Z and Higgs production processes at high energies
A bstractUsing the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons
Some properties of amplitudes at multiboson thresholds in spontaneously broken scalar theory.
  • Voloshin
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1993
TLDR
It is found that all the 1 → n amplitudes have no absorptive part at the thresholds to any order of perturbation theory, which implies nontrivial relations between multiboson threshold production amplitudes.
Multiparticle production in the large λn limit: realising Higgsplosion in a scalar QFT
A bstractIn a scalar theory which we use as a simplified model for the Higgs sector, we adopt the semiclassical formalism of Son for computations of n-particle production cross-sections in the
Breakdown of perturbation theory at tree level in theories with scalars
Abstract It is shown that the cross section for q q →n Higgs in the standard model becomes non-perturbative in tree approximation at CM energies and multiplicities approximately given by √ s 100–300
...
1
2
3
4
5
...