Speaker
Prof.
Simon Catterall
(Syracuse University)
Description
N=4 Yang-Mills may be formulated on the lattice in such a way as to
preserve one exact supersymmetry. This has remarkable consequences;
the beta function of the lattice theory vanishes at one loop, the moduli space of the theory survives to all orders of perturbation theory and a maximum of two fine tunings are required to take the continuum limit.
I will review the formulation and describe the resulting phase diagram of the theory.
In certain parts of the phase
diagram a lattice monopole phase is found whose existence is driven
by the U(1)
sector of the theory. I show how
this lattice artifact phase can be avoided by the addition of a new term to
the lattice action which enforces an approximate projection from a U(N) to an
SU(N) gauge group. With the inclusion of this term simulations can be conducted at arbitrarily
large 't Hooft coupling.
Primary author
Prof.
Simon Catterall
(Syracuse University)
Co-authors
Prof.
Joel Giedt
(RPI)
Prof.
Poul Damgaard
(NBIA, University of Copenhagen)
Dr
Schaich David
(Syracuse University)
Prof.
Tom Degrand
(University of Colorado, Boulder.)
