2025-10-25   46333

Discretizing Curved Space(time) for Quantum Field Theory

In quantum field theory, the only known well-defined nonperturbative constructions of many important models involve discretizing space or spacetime. In flat space or spacetime, one common scheme uses a hypercubic lattice, which has the virtue of preserving a discrete version of exact translation symmetry. This article describes a more general discretization scheme that is useful when translation symmetry is either unimportant or absent in the nominal smooth space or spacetime.

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www.cphysics.org updated 2025-10-26