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Five-dimensional Lattice Gauge Theory as Multi-Layer World

Michika Murata·Hiroto So
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Abstract

A five-dimensional lattice space can be decomposed into a number of four-dimens ional lattices called as layers. The five-dimensional gauge theory on the lattice can be interpreted as four-dimensional gauge theories on the multi-layer with interactions between neighboring layers. In the theory, there exist two independent coupling constants; $β_4$ controls the dynamics inside a layer and $β_5$ does the strength of the inter-layer interaction.We propose the new possibility to realize the continuum limit of a five-dimensional theory using four-dimensional dynamics with large $β_4$ and small $β_5$. Our result is also related to the higher dimensional theory by deconstruction approach.

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Michika Murata, Hiroto So. 2003-06-10. Five-dimensional Lattice Gauge Theory as Multi-Layer World. https://arxiv.org/abs/hep-lat/0306003

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