Prepotential formulation of lattice gauge theories

by Ms. Indrakshi Raychowdhury (S. N. Bose National Centre For Basic Sciences, Kolkata)

Thursday, April 11, 2013 from 14:30 to 15:30 (Asia/Kolkata)
at Colaba Campus ( AG69 )

Description

The reformulation of gauge theories in terms of loops is an old
problem in physics. We define prepotential operators for Hamiltonian
lattice gauge theory to address the issues regarding the loop
formulation. In terms of the prepotentials all the loops as well as
associated Mandelstam constraint can be defined locally at each site
of the lattice. Moreover these constraints can be solved exactly to
construct local orthonormal loop basis. The dynamical issues are also
analyzed within this approach.  Prepotentials also play an important
role in calculating the spectrum of the theory exactly (for a small
lattice) as well as perturbatively (both in the weak coupling and
strong coupling regime).