Matrix product variational formulation for lattice gauge theory

Details Matrix product variational formulation for lattice gauge theory Matrix product variational formulation for lattice gauge theory

2004-11-15

arxiv.org/abs/hep-lat/0411017v1

AIP Conf. Proc. 756, 305 (2005)

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 3 figures, talk given at Quark Confinement and the Hadron Spectrum VI, 21-25 September 2004, Sardinia, Italy

Scientific paper

10.1063/1.1920975

For hamiltonian lattice gauge theory, we introduce the matrix product anzats inspired from density matrix renormalization group. In this method, wavefunction of the target state is assumed to be a product of finite matrices. As a result, the energy becomes a simple function of the matrices, which can be evaluated using a computer. The minimum of the energy function corresponds to the vacuum state. We show that the S=1/2 Heisenberg chain model are well described with the ansatz. The method is also applied to the two-dimensional S=1/2 Heisenberg and U(1) plaquette chain models.

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