Chapter

Simulations with the Hybrid Monte Carlo algorithm: implementation and data analysis

Stefan Schaefer

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Published in print August 2011 | ISBN: 9780199691609
Published online January 2012 | e-ISBN: 9780191731792 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691609.003.0007

Series: Lecture Notes of the Les Houches Summer School

Simulations with the Hybrid Monte Carlo algorithm: implementation and data analysis

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This tutorial gives a practical introduction to the Hybrid Monte Carlo algorithm and the analysis of Monte Carlo data. The method is exemplified at the ϕ 4 theory, for which all steps from the derivation of the relevant formulae to the actual implementation in a computer program are discussed in detail. It concludes with the analysis of Monte Carlo data, in particular their auto-correlations.

Keywords: Hybrid Monte Carlo; Error analysis; Auto-correlations

Chapter.  8843 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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