Abstract
In recent years a lot of work has been concentrated on the study of non-abelian gauge theories on a lattice 1. The introduction of a lattice is crucial do define the theory in a non-perturbative way: in lattice gauge theories it is possible to use strong coupling techniques such as the high temperature expansion 2, the numerical simulations based on the Montecarlo method3, 4 and the real space renormalization group 4, 5. Of course we have to pay a price for having all these advantages: the theory can be interpreted as the Euclidean version of a relativistic invariant local gauge field theory only in the limit in which the coherence length ΞΎ goes to infinity, when it is measured in units of the lattice spacing. In the language of statistical mechanics the divergence of the correlation lenght corresponds to a second order phase transition.
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Parisi, G. (1980). On the Structure of the Phases in Lattice Gauge Theories. In: Hooft, G., et al. Recent Developments in Gauge Theories. NATO Advanced Study Institutes Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7571-5_16
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DOI: https://doi.org/10.1007/978-1-4684-7571-5_16
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