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Lattice gauge theory is a method to deal with gauge theory that is useful for computer-assisted calculations. In lattice gauge theory, the spacetime is discretized and replaced by a lattice with lattice spacing equal to <math>a<math>. The fields are only defined at the elements of the lattice, and the Yang-Mills action is rewritten in such a way that the limit <math>a\to 0<math> formally gives the original continuous action.
Lattice gauge theory is a particularly important tool for quantum chromodynamics (QCD). The discretized version of QCD is called QCD lattice model.