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#
Nuclear Physics
Colloquium

Venue: Physics Building, Max-von-Laue-Str. 1, PHYS 02.116

Time: Thursday, November 28, 4:30pm (s.t.)

Contact: hees@itp.uni-frankfurt.de

# Triviality bounds of the O(4)
$\boldsymbol{\phi}^4$ model as a theory of the sigma-pion system: lattice
vs. continuum

## Gergely Marko (Eötvös University Budapest)

We investigate the apparent contradiction
that the O(4) $\phi^4$ model, with parameters set to reproduce the
light-meson masses in the vacuum, seem to give practically cutoff
independent results in continuum studies, while a simple estimate based on
a similar calculation for the Higgs sector by Lüscher and Weisz sets the
Landau pole around $\sim 500 \, \text{MeV}$. We carry out a Monte Carlo
simulation to determine the triviality bound of the lattice theory
precisely and compare results with continuum approximations.

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