Gauge Invariance in a Z2 Hamiltonian Lattice Gauge Theory.

Sugihara, T.

Technical Information Center Oak Ridge Tennessee

关键词: Gauge invariance;    Hamiltonians;    Lattice field theory;    Variational methods;    Quantum field theory;   

RP-ID  :  DE2006862431

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

We propose an efficient variational method for Z(sup 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.