Scaling Limit
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High Quality Content by WIKIPEDIA articles! In physics or mathematics, the scaling limit is a term applied to the behaviour of a lattice model in the limit of the lattice spacing going to zero. If we wish to have a lattice model which approximates a continuum quantum field theory in the limit as the lattice spacing goes to zero, then this corresponds to finding a second order phase transition of the model. This is the scaling limit of the model.In physics, a lattice model is a physical model that is defined on a lattice, as opposed to the continuum of space or spacetime. Lattice models origina...
High Quality Content by WIKIPEDIA articles! In physics or mathematics, the scaling limit is a term applied to the behaviour of a lattice model in the limit of the lattice spacing going to zero. If we wish to have a lattice model which approximates a continuum quantum field theory in the limit as the lattice spacing goes to zero, then this corresponds to finding a second order phase transition of the model. This is the scaling limit of the model.In physics, a lattice model is a physical model that is defined on a lattice, as opposed to the continuum of space or spacetime. Lattice models originally occurred in the context of condensed matter physics, where the atoms of a crystal automatically form a lattice. Currently, lattice models are quite popular in theoretical physics, for many reasons. Some models are exactly solvable, and thus offer insight into physics beyond what can be learned from perturbation theory. Lattice models are also ideal for study by the methods of computational physics, as the discretization of any continuum model automatically turns it into a lattice model.
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