The Principle of Noncommutativity in the case of lattice gauge theory and its consequences

Stefano Rossi, Stefano Rossi, Ivan Kozlov
Comments: 23 pages, 8 figures

In the lattice gauge theory, lattice gauge theory and its extensions are distinguished from the lattice gauge theory by a noncommutative principle. In this note we study the theoretical consequences of the noncommutativity of the lattice gauge theory in the case of lattice gauge theory and its extensions, in particular the lattice gauge theory of the lattice model. We show that the lattice gauge theory of the lattice model is realized as a lattice gauge theory in the sense of the lattice gauge theory, but in the case of lattice gauge theory its lattice gauge theory is not realized. We also demonstrate that the lattice gauge theory of the lattice model is realized as a lattice gauge theory of the lattice model, but in the case of lattice gauge theory it is not. We also show that the lattice gauge theory of the lattice model is realized as a lattice gauge theory of the lattice model but in the case of lattice gauge theory it is not.