Matrix Product Variational Formulation for Lattice Gauge Theory.

Sugihara, T.

Technical Information Center Oak Ridge Tennessee

关键词: Lattice gauge theory;    Density matrix;    Hadrons;    Hamiltonians;    Matrices;   

RP-ID  :  DE200515011145

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

For hamiltonian lattice gauge theory, we introduce the matrix product ansatz 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.