https://doi.org/10.1140/epjc/s10052-024-13428-8
Regular Article - Theoretical Physics
Light fermion masses in partially deconstructed models
1
National Institute of Technology, Gifu College, Motosu-shi, 501-0495, Gifu, Japan
2
Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, 753-8512, Yamaguchi, Japan
Received:
24
July
2024
Accepted:
26
September
2024
Published online:
9
October
2024
Considering a theory space consisting of a large number of five-dimensional Dirac fermion field theories including background abelian gauge fields, we can construct a theory similar to a continuous six-dimensional theory compactified with two-dimensional manifolds with and without magnetic flux or orbifolds as extra dimensions. This method, called dimensional deconstruction, can be used to construct a model with one-dimensional discrete space, which represents general graph structures. In this paper, we propose the models with two extra dimensions, which resemble two-dimensional tori, cylinders, and rectangular regions, as continuum limits. We also try to build a model that mimics one with the two-dimensional orbifold compactification.
© The Author(s) 2024
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