
TL;DR
This paper explores how locality in theory space influences the cutoff scale of four-dimensional theories derived from higher dimensions, revealing a connection between IR locality constraints and five-dimensional locality.
Contribution
It demonstrates that maximizing the cutoff scale in theory space naturally leads to five-dimensional locality, linking IR constraints with UV properties in deconstructed theories.
Findings
Maximizing the cutoff scale implies five-dimensional locality.
IR locality constraints affect the four-dimensional cutoff.
Theory space locality correlates with weak IR coupling.
Abstract
Locality is a guiding principle for constructing realistic quantum field theories. Compactified theories offer an interesting context in which to think about locality, since interactions can be nonlocal in the compact directions while still being local in the extended ones. In this paper, we study locality in "theory space", four-dimensional Lagrangians which are dimensional deconstructions of five-dimensional Yang-Mills. In explicit ultraviolet (UV) completions, one can understand the origin of theory space locality by the irrelevance of nonlocal operators. From an infrared (IR) point of view, though, theory space locality does not appear to be a special property, since the lowest-lying Kaluza-Klein (KK) modes are simply described by a gauged nonlinear sigma model, and locality imposes seemingly arbitrary constraints on the KK spectrum and interactions. We argue that these constraints…
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