On the Structure of the Phases in Lattice Gauge Theories
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 ξ 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.
KeywordsGauge Theory Order Transition Order Phase Transition Gauge Field Lattice Gauge Theory
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