physics

physicseventsparticle astrophysics seminars

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