Speaker
Dr
SUZUKI
Description
We numerically studied supersymmetric Ward-Takahashi identities ("PCSC"
relation) in Sugino's lattice formulation of the two-dimensional N=(2,2)
supersymmetric Yang-Mills theory with a scalar mass term. We obtained a clear
evidence that full supersymmetry is restored in the continuum limit of this
lattice model. This is a firm demonstration of, for the first time to our
knowledge, realization of supersymmetry in lattice gauge theory. As physical
application, we numerically observed that certain correlation functions related
by supersymmetry exhibit a power-like behavior (which implies the absence of
mass gap) and the static potential between probe charges in the fundamental
representation is linearly-rising. The latter confining behavior appears
distinct from a theoretical conjecture made in the '90s by Armoni, Frishman and
Sonnenschein, although the static potential for larger distance has to be
systematically explored to conclude real asymptotic behavior. This presentation
is based on collaboration with Issaku Kanamori.
