Instantons and Monte Carlo Methods in Quantum Mechanics

Details Instantons and Monte Carlo Methods in Quantum Mechanics Instantons and Monte Carlo Methods in Quantum Mechanics

2004-11-08

arxiv.org/abs/hep-lat/0411010v1

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages, part of a series of lectures first delivered at BNL (1999) and Kopenhagen (2001), recently revised and updated; a co

Scientific paper

In these lectures we describe the use of Monte Carlo simulations in understanding the role of tunneling events, instantons, in a quantum mechanical toy model. We study, in particular, a variety of methods that have been used in the QCD context, such as Monte Carlo simulations of the partition function, cooling and heating, the random and interacting instanton liquid model, and numerical simulations of non-Gaussian corrections to the semi-classical approximation.

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