Würzburg 2018 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 13: Theorie: QFT / Gittereichtheorie

T 13.6: Vortrag

Montag, 19. März 2018, 17:15–17:30, Z6 - SR 1.013

Trans-cutoff scattering in theory of a Goldstone boson — •Lukas Eisemann — LMU, Muenchen, Deutschland

In a model of a Nambu-Goldstone-type scalar, we consider 2 → n scattering processes with the CM-energy E distributed equally over the n final quanta. We work out the scaling with n of the tree-level cross sections for these processes. At trans-cutoff energies, perturbative unitarity is violated for 2 → few, while for n sufficiently large, the theory behaves perturbatively. The turning point n_t, which sets the boundary between in- and decreasing behaviour of the cross section with n, can be found in terms of the CM-energy E.

We then investigate whether the existence of the turning point n_t may indicate that, in trans-cutoff scattering, non-perturbative states, which correspond to certain classical solutions, play a role. We do so by checking whether the spatial extension of those classical solutions R(E) scales in the same way with E as does the wavelength λ(E) = n_t(E) / E of the final quanta in the scattering processes 2 → n_t.