Monte Carlo methods in continuous time for lattice Hamiltonians

Understand

We solve a variety of sign problems for models in lattice field theory using the Hamiltonian formulation, including Yukawa models and simple lattice gauge theories.

• The solutions emerge naturally in continuous time and use the dual representation for the bosonic fields.
• These solutions allow us to construct quantum Monte Carlo methods for these problems.
• The methods could provide an alternative approach to understanding non-perturbative dynamics of some lattice field theories.