nLab Monte Carlo method

Idea

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References

General

See also:

• Wikipedia, Monte Carlo method

• Wikipedia, Monte Carlo method in statistical mechanics

In statistical physics:

• Kurt Binder, Monte Carlo Simulations in Statistical Physics, in: Encyclopedia of Complexity and Systems Science, Springer (2009) [doi:10.1007/978-0-387-30440-3_337]

For lattice QCD:

• Mike Peardon, Monte Carlo Simulations of Lattice QCD, in: QCD and Numerical Analysis III, Lecture Notes in Computational Science and Engineering 47 (2005) [doi:10.1007/3-540-28504-0_4]

In lattice field theory

The application of Monte Carlo methods in lattice gauge field theory originates with:

• Michael Creutz, Confinement and the Critical Dimensionality of Space-Time, Phys. Rev. Lett. 43 (1979) 553 [doi:10.1103/PhysRevLett.43.553]

• Michael Creutz, Monte Carlo study of quantized $SU(2)$ gauge theory, Phys. Rev. D 21 (1980) 2308-2315 [doi:10.1103/PhysRevD.21.2308, pdf]

• Michael Creutz, Monte Carlo study of renormalization in lattice gauge theory Phys.Rev. D 23 (1981) 1815 [doi:10.1103/PhysRevD.23.1815, pdf&rbrack

• Michael Creutz, Laurence Jacobs, Claudio Rebbi, Monte Carlo computations in lattice gauge theories, Physics Reports 95 4 (1983) 201-282 [doi:10.1016/0370-1573(83)90016-9, pdf]