hadron: R Package for Statistical Methods to Extract (Hadronic) Quantities from Correlation Functions in Monte Carlo Simulations
Creators
- 1. Bonn University, Bonn, Germany
- 2. Liverpool University, Liverpool, UK
- 3. Bonn University, Bonn Germany
- 4. The Cyprus Institute,Nicosia, Cyprus
- 5. Universita Roma III, Rome, Italy
Description
Toolkit to perform statistical analyses of correlation functions generated from Lattice Monte Carlo simulations. In particular, a class 'cf' for correlation functions and methods to analyse those are defined. This includes (blocked) bootstrap (based on the 'boot' package) and jackknife, but also an automatic determination of integrated autocorrelation times. 'hadron' also provides a very general function bootstrap.nlsfit() to bootstrap a non-linear least squares fit. More specific functions are provided to extract hadronic quantities from Lattice Quantum Chromodynamics simulations, a particular Monte Carlo simulation,(see e.g. European Twisted Mass Collaboration, P. Boucaud et al. (2008) <doi:10.1016/j.cpc.2008.06.013>). Here, to determine energy eigenvalues of hadronic states, specific fitting routines and in particular the generalised eigenvalue method (see e.g. B. Blossier et al. (2009) <doi:10.1088/1126-6708/2009/04/094> and M. Fischer et al. (2020) <https://inspirehep.net/literature/1792113>) are implemented. In addition, input/output and plotting routines are available.
Files
Files
(3.1 MB)
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Additional details
Software
- Repository URL
- https://github.com/HISKP-LQCD/hadron
- Programming language
- R
References
- Fischer, M et al., "On the generalised eigenvalue method and its relation to Prony and generalised pencil of function methods," Eur.Phys.J.A 56 (2020) 8, 206, https://arxiv.org/abs/2004.10472, https://doi.org/10.1140/epja/s10050-020-00205-w
- Wolff, U, "Monte Carlo Errors with less Errors", Comput.Phys.Commun. 156 (2004) 143-153, Comput.Phys.Commun. 176 (2007) 383 (erratum),
- ETMC, Boucaud, P et al., "Dynamical twisted mass fermions with light quarks: simulation and analysis details", Comput.Phys.Commun. 179 (2008) 695-715, https://arxiv.org/abs/0803.0224, https://doi.org/10.1016/j.cpc.2008.06.013
- Blossier, B et al., "On the generalized eigenvalue method for energies and matrix elements in lattice field theory", JHEP 04 (2009) 094, https://arxiv.org/abs/0902.1265, https://doi.org/10.1088/1126-6708/2009/04/094
- Ostmeyer, J et al., "On the equivalence of Prony and Lanczos methods for Euclidean correlation functions", Eur.Phys.J.A 61 (2025) 2, 26, https://arxiv.org/abs/2411.14981, https://doi.org/10.1140/epja/s10050-025-01495-8