2023-11-12   52890

Defining Scalar Quantum Fields on a Spatial Lattice

This article constructs a family of models of a single scalar field with a not-necessarily-linear equation of motion, using a discrete lattice in place of continuous space so that the whole construction is mathematically unambiguous. These are toy models, not intended to have direct physical applications, but they illustrate some features of relativistic quantum field theory without some of the complications of more realistic models.

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