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Monte Carlo Methods

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Abstract

No way to compute the path integral of lattice QCD analytically is known. Even on a finite lattice it amounts of solving the very-high-dimensional integral of Eq. (1.85).

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References

  1. M. Lüscher, Comput. Phys. Commun. 79, 100 (1994). doi:10.1016/0010-4655(94)90232-1

    Article  ADS  Google Scholar 

  2. D. Best, N. Fisher, Appl. Statist. 28, 152 (1979)

    Article  Google Scholar 

  3. B. Bunk, Heatbath Update for U(1), Internal notes (1995)

    Google Scholar 

  4. K. Fabricius, O. Haan, Phys. Lett. B 143, 459 (1984). doi:10.1016/0370-2693(84)91502-8

    Article  ADS  Google Scholar 

  5. A. Kennedy, B. Pendleton, Phys. Lett. B 156, 393 (1985). doi:10.1016/0370-2693(85)91632-6

    Article  ADS  Google Scholar 

  6. M. Creutz, Phys. Rev. D 21, 2308 (1980). doi:10.1103/PhysRevD.21.2308

    Article  ADS  MathSciNet  Google Scholar 

  7. P. Weisz, A Haan-Fabricius Updating Program for the APE-100 Parallel Computer, Internal report of the ALPHA collaboration (1993)

    Google Scholar 

  8. N. Cabibbo, E. Marinari, Phys. Lett. B 119, 387 (1982). doi:10.1016/0370-2693(82)90696-7

    Article  ADS  Google Scholar 

  9. P. Weisz, A Cabibbo-Marinari SU(3) Updating Program for the Quadrics Parallel Computer, Internal report of the ALPHA collaboration (1995)

    Google Scholar 

  10. M. Creutz, Phys. Rev. D 36, 515 (1987). doi:10.1103/PhysRevD.36.515

    Article  ADS  MathSciNet  Google Scholar 

  11. F.R. Brown, T.J. Woch, Phys. Rev. Lett. 58, 2394 (1987). doi:10.1103/PhysRevLett. 58.2394

    Article  ADS  Google Scholar 

  12. T. DeGrand, C. DeTar, Lattice Methods for Quantum Chromodynamics (World Scientific, Singapure, 2006)

    Google Scholar 

  13. I.P. Omelyan, I.M. Mryglod, R. Folk, Phys. Rev. E 65, 056706 (2002). doi:10.1103/PhysRevE.65.056706

  14. I.P. Omelyan, I.M. Mryglod, R. Folk, Phys. Rev. E 66, 026701 (2002). doi:10.1103/PhysRevE.66.026701

  15. M. Wandelt, M. Günther, F. Knechtli, M. Striebel, Appl. Numer. Math. 62(12), 1740 (2012)

    Article  MathSciNet  Google Scholar 

  16. M. Lüscher, in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing. Proceedings, International School, 93rd Session, Les Houches, France, August 3–28, 2009 (2010), pp. 331–399. https://inspirehep.net/record/846344/files/arXiv:1002.4232.pdf

  17. A. Kennedy, P. Silva, M. Clark, Phys. Rev. D 87(3), 034511 (2013). doi:10.1103/PhysRevD.87.034511

    Article  ADS  Google Scholar 

  18. T. Korzec, U. Wolff, Nucl. Phys. B 871, 145 (2013). doi:10.1016/j.nuclphysb.2013.02.012

    Article  ADS  MathSciNet  Google Scholar 

  19. T. Korzec, U. Wolff, PoS LATTICE2010, 029 (2010)

    Google Scholar 

  20. Y. Delgado Mercado, C. Gattringer, A. Schmidt, Comput. Phys. Commun. 184, 1535 (2013). doi:10.1016/j.cpc.2013.02.001

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Correspondence to Francesco Knechtli .

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Knechtli, F., Günther, M., Peardon, M. (2017). Monte Carlo Methods. In: Lattice Quantum Chromodynamics. SpringerBriefs in Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-0999-4_2

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