Five-dimensional Lattice Gauge Theory as Multi-Layer World

Details Five-dimensional Lattice Gauge Theory as Multi-Layer World Five-dimensional Lattice Gauge Theory as Multi-Layer World

2003-06-03

arxiv.org/abs/hep-lat/0306003v2

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 18 figures

Scientific paper

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; $\beta_4$ controls the dynamics inside a layer and $\beta_5$ 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 $\beta_4$ and small $\beta_5$. Our result is also related to the higher dimensional theory by deconstruction approach.

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