An artificial boundary approach for short-ranged interactions

Understand

Real physical systems are only understood, experimentally or theoretically, to a finite resolution so in their analysis there is generally an ignorance of possible short-range phenomena.

• It is also well-known that the boundary conditions of wavefunctions and fields can be used to model short-range interactions when those interactions are expected, a priori.
• Here, a real-space approach is described wherein an artificial boundary of ignorance is imposed to explicitly exclude from analysis the region of a system wherein short-distance effects may be obscure.
• The (artificial) boundary conditions encode those short-distance effects by parameterizing the possible UV completions of the wavefunction.