Standard model with compactified spatial dimensions
Bartosz Fornal, Mark B. Wise

TL;DR
This paper investigates the effects of compactified spatial dimensions on the standard model coupled with gravity, revealing the absence of stable one-dimensional vacua at zero temperature and identifying an unstable vacuum under specific neutrino mass conditions.
Contribution
It provides a detailed analysis of the vacuum structure of the standard model with compactified dimensions, highlighting stability conditions and the role of neutrino masses.
Findings
No stable one-dimensional vacua at zero temperature.
Existence of an unstable vacuum for specific Dirac neutrino masses.
Insights into the interplay between compactified dimensions and vacuum stability.
Abstract
We analyze the structure of the standard model coupled to gravity with spatial dimensions compactified on a three-torus. We find that there are no stable one-dimensional vacua at zero temperature, although there does exist an unstable vacuum for a particular set of Dirac neutrino masses.
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