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"Loop Approach to Lattice Gauge Theories"

Indrakshi Raychowdhury, Indian Association for the Cultivation of Science
Wednesday, October 31, 2018 - 2:30pm
PAT C-421

Abstract: In this talk, I will discuss the `Prepotential formulation
of lattice gauge theories' developed over the last decade. This is a
useful reformulation of Hamiltonian LGT containing only local loop
degrees of freedom at each lattice site. An additional Abelian Gauss
law maps these local loop states to the original non-local Wilson
loops. Being local, the Mandelstam constraints present in the
over-complete loop basis can be solved exactly to find the exact and
orthonormal loop basis and their dynamics at each site. Choosing only
relevant loops makes the weak coupling regime accessible and will
discuss an alternate proposal  for  the low energy spectrum of lattice
gauge theory in this regime using loop formulation.

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