Particle/Astrophysics and CERCA Seminars, Spring 2010
January 19, 2010 , Tuesdays 11:30am-12:30pm / the Miller Room, Rockefeller 221 (except where otherwise noted).
Dmitry Podolsky
,
CWRU
On triviality of $\lambda\phi^{4}$ theory in $D=4$
e introduce a new non-perturbative method suitable for
analyzing scalar quantum field theories at strong coupling based on mapping
between quantum field theories in $dS_{D}\times M_{N}$ spacetime and
statistical field theories in Euclidean space $M_{N}$. Applying this method
to $\lambda\phi^{4}$ theory in $dS_{D}\times E_{4}$ spacetime, we analyze
behavior of the 4-dimensional $\lambda\phi^{4}$ theory in the regime
$\lambda\sim{}1$ and give a new argument in favor of triviality of the
theory.
Host:
Tanmay Vachaspati