A new computational approach to lattice quantum field theories

Understand

Developments in algorithms over the past decade suggest that there is a new computational approach to a class of quantum field theories.

• This approach is based on rewriting the partition function in a representation similar to the world-line representation and hence we shall call it the "WL-approach".
• This approach is likely to be more powerful than the conventional approach in some regions of parameter space, especially in the presence of chemical potentials or massless fermions.
• While world-line representations are natural in the Hamiltonian formulation, they can also be constructed directly in Euclidean space.