lattice theories

Noun

lattice theory (countable and uncountable, plural lattice theories)

1. (uncountable) The branch of mathematics concerned with lattices (partially ordered sets).
   • Apart from an introduction of effective techniques, a most significant contribution of our work has been the elevation of lattice theory in computational intelligence – soft computing.2006, Vassilis G. Kaburlasos, Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory, Springer, page 4
2. A lattice model, a mathematical model based on a lattice (discrete subgroup of Rⁿ); the study of such models.
3. (particle) (A) lattice gauge theory.
   • It is natural to think that the absence of phase transitions in the SU(2) theory can be generalized to lattice theories with any continuous non-Abelian gauge group.1981, J. Greensite, B. Lautrup, First-Order Phase Transitions in Four-Dimensional SO(3) Lattice Gauge Theory, in Physical Review Letters, Republished in 1983, Claudio Rebbi (editor), Lattice Gauge...