Speaker
Mr
Spyridon Talaganis
Description
In this talk, I will consider quantum aspects of a
non-local, infinite-derivative scalar field theory - a toy
model depiction of a covariant infinite-derivative,
non-local extension of Einstein’s general relativity which
has previously been shown to be free from ghosts around the
Minkowski background. The graviton propagator in this theory
gets an exponential suppression making it asymptotically
free, thus providing strong prospects of resolving various
classical and quantum divergences. In particular, I will
find that at 1-loop, the 2-point function is still
divergent, but once this amplitude is renormalized by adding
appropriate counter terms, the ultraviolet (UV) behavior of
all other 1-loop diagrams as well as the 2-loop, 2-point
function remains well under control. I will go on to discuss
how one may be able to generalize our computations and
arguments to arbitrary loops.
