Hamiltonian dynamics of the two-dimensional lattice model

A Hamiltonian lattice study of the two-dimensional Wess-Zumino model

We investigate a Hamiltonian lattice version of the two-dimensional Wess-Zumino model by Quantum Monte Carlo simulations. In order to study the pattern of supersymmetry breaking, we measure the ground state energy and the correlation length along a trajectory approaching the continuum limit. The algorithm is very effective in measuring the ground state energy, and adequate for the correlation l...

The two-dimensional Wess-Zumino model in the Hamiltonian lattice formulation

Most studies of lattice field theory are performed in the well-known Lagrangian formalism, discretizing both space and time. We feel that it is important not to neglect the Hamiltonian formalism [1], which affords, e.g., a more immediate approach to the mass spectrum and to the implementation of fermions; numerical methods are quite different in the Lagrangian and in Hamiltonian formalism, and ...

Hole dynamics in the two-dimensional strong-coupling Hubbard Hamiltonian.

Bosonized Quantum Hamiltonian of the Two-Dimensional Derivative-Coupling Model

Using the operator formulation we discuss the bosonization of the two-dimensional derivative-coupling model. The fully bosonized quantum Hamiltonian is obtained by computing the composite operators as the leading terms in the Wilson short distance expansion for the operator products at the same point. In addition, the quantum Hamiltonian contains topological terms which give trivial contributio...

Density matrix renormalization group in a two-dimensional λφ Hamiltonian lattice model

Density matrix renormalization group (DMRG) is applied to a (1+1)dimensional λφ4 model. Spontaneous breakdown of discrete Z2 symmetry is studied numerically using vacuum wavefunctions. We obtain the critical coupling (λ/μ)c = 59.89± 0.01 and the critical exponent β = 0.1264 ± 0.0073, which are consistent with the Monte Carlo and the exact results, respectively. The results are based on extrapol...