Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory

Details Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory

2005-06-07

arxiv.org/abs/hep-lat/0506009v2

JHEP0507:022,2005

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 6 figures, minor corrections, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2005/07/022

The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. In this work, we propose an efficient variational method based on the matrix product ansatz for a Z_2 lattice gauge theory on a spatial ladder chain. Gauge invariant low-lying states are identified by evaluating expectation values of the Gauss law operator after numerical diagonalization of the gauge hamiltonian.

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