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Gauge invariance in a Z_2 hamiltonian lattice gauge theory
Takanori Sugihara
We propose an efficient variational method for lattice gauge theory based on the matrix product ansatz. The method is applied to ladder and square lattices. The Gauss law nee…
Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory
Takanori Sugihara
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 vari…
Matrix product variational formulation for lattice gauge theory
Takanori Sugihara
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…
Density matrix renormalization group approach to a two-dimensional bosonic model
Takanori Sugihara
Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional model to study spontaneous breakdown of discrete symmetry numerically. We obtain the crit…
Density matrix renormalization group in a two-dimensional Hamiltonian lattice model
Takanori Sugihara
Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional model. Spontaneous breakdown of discrete symmetry is studied numerically using vacuum wav…
Lattice representation of vector and chiral gauge theories
Takanori Sugihara
A lattice derivative is defined as a discrete Fourier transform of momentum on a finite lattice. Species doublers are removed with anti-periodic boundary conditions. U(1) chiral tr…