Summation-over-paths degree of freedom and the loop lattice

摘要

Previously we found different kinds of lattice solutions in the no-integrability aesthetic field theory when we specify an integration path. When we combine the lattice origin-point data and aesthetic field equations with the summation-over-paths degree of freedom, the lattice solution is altered in a dramatic way. In this paper we study particular how a loop lattice system is affected by the summation over paths. We find likely evidence for two loop particles. The other potential particle systems could be closed strings (loops), but increased computer capability would be necessary to confirm this.