Monte Carlo Hamiltonian: Generalization to Quantum Field Theory

Details Monte Carlo Hamiltonian: Generalization to Quantum Field Theory Monte Carlo Hamiltonian: Generalization to Quantum Field Theory

2001-08-28

arxiv.org/abs/hep-lat/0108026v1

Proceedings of the International Workshop on Nonperturbative Methods and Lattice QCD, World Scientific (2001) 100-111

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, uses latex and ws-p8-50x6-00.cls

Scientific paper

Monte Carlo techniques with importance sampling have been extensively applied to lattice gauge theory in the Lagrangian formulation. Unfortunately, it is extremely difficult to compute the excited states using the conventional Monte Carlo algorithm. Our recently developed approach: the Monte Carlo Hamiltonian method, has been designed to overcome the difficulties of the conventional approach. In this paper, we extend the method to many body systems and quantum field theory. The Klein-Gordon field theory is used as a testing ground.

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