Speaker
Prof.
Vincenzo Branchina
(University of Catania)
Description
The renormalization group properties of a PT-symmetric $\phi^3$
theory are discussed and compared to the corresponding properties
of the conventional theory. In d=6 dimensions, the theory turns
out to be energetically stable, perturbatively renormalizable,
and trivial (the conventional one being asymptotically free and
unstable). Moreover, in $d =6-\epsilon$ dimensions, the theory
has a non-trivial fixed point. The critical behaviour around
this point is discussed. Finally, it is shown that, due to its
stability properties, the PT-symmetric theory has a predictive
power higher than the conventional one. As for the PT-symmetric
$\phi^4$ theory, the $d=0$ dimension case is studied. Unexpected
and intriguing results arise.
Primary author
Prof.
Vincenzo Branchina
(University of Catania)
