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Monte Carlo Computations for Lattice Gauge Theories with Finite Gauge Groups

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Current Topics in Elementary Particle Physics

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 70))

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Abstract

The lattice formulation of quantum gauge field theories provides a regularization of the ultraviolet divergences and allows computational techniques, such as strong coupling expansions, which cannot be applied to the continuum theory.1) After a Wick rotation of time to imaginary time, the weighted sum over all configurations used to define quantum expectation values becomes formally identical to a statistical sum for a four-dimensional system. This has suggested the recourse to Monte Carlo simulations for obtaining numerical information about lattice gauge field theories.2,3,4) Monte Carlo computations have indeed constituted for a while, basically since the advent of modern high-speed computers, a very powerful tool to study statistical systems. In this lecture I shall describe results obtained in a variety of Monte Carlo investigations, in which I have been in-volved.2,5,6)

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References

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© 1981 Plenum Press, New York

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Rebbi, C. (1981). Monte Carlo Computations for Lattice Gauge Theories with Finite Gauge Groups. In: Mütter, K.H., Schilling, K. (eds) Current Topics in Elementary Particle Physics. NATO Advanced Study Institutes Series, vol 70. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8279-9_16

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  • DOI: https://doi.org/10.1007/978-1-4684-8279-9_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8281-2

  • Online ISBN: 978-1-4684-8279-9

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