Speaker
Dr
Nouman Butt
(Argonne National Laboratory)
Description
We construct a four dimensional lattice gauge theory in which fermions acquire mass without
breaking symmetries as a result of gauge interactions. We start from
a $SU(2)$ lattice Yang-Mills theory with staggered fermions transforming under an additional
global $SU(2)$ symmetry. The fermion representations are chosen
so that single site bilinear mass terms vanish identically. A symmetric
four fermion operator is however allowed and we
show numerical results that show that
a condensate of this operator develops in the vacuum. The spectrum of the theory contains a triplet of color singlet difermion states whose mass is given by the confinement scale $\Lambda_s$
times a function of the dimensionless ratio $f(\lambda\Lambda_s)$.
Author
Dr
Nouman Butt
(Argonne National Laboratory)
Co-authors
Prof.
Simon Catterall
(Syracuse University)
Mr
Goksu Toga
(Syracuse University)
