Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-09-15
PoS LAT2005 (2005) 181
Physics
High Energy Physics
High Energy Physics - Lattice
6 pages, 2 figures. Talk presented at Lattice2005 (Non-zero temperature and density), 25-30 July 2005, Trinity College, Dublin
Scientific paper
We propose an efficient variational method for $Z_2$ lattice gauge theory based on the matrix product ansatz. The method is applied to ladder and square lattices. The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. On the ladder lattice, we identify gauge invariant low-lying states by evaluating expectation values of the Gauss law operator after numerical diagonalization of the gauge hamiltonian. On the square lattice, the second order phase transition is well reproduced.
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