Standard model with compactified spatial dimensions

@article{Fornal2011StandardMW,
  title={Standard model with compactified spatial dimensions},
  author={Bartosz Fornal and Mark B. Wise},
  journal={Journal of High Energy Physics},
  year={2011},
  volume={2011},
  pages={1-13}
}
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. 

Figures from this paper

Weak gravity conjecture, multiple point principle and the standard model landscape
The requirement for an ultraviolet completable theory to be well-behaved upon compactification has been suggested as a guiding principle for distinguishing the landscape from the swampland. MotivatedExpand
Particle creation in a toroidal universe
We calculate the particle production rate in an expanding universe with a three-torus topology. We discuss also the complete evolution of the size of such a universe. The energy density of particlesExpand
Global spacetime structure of compactified inflationary universe
We investigate the global spacetime structure of torus de Sitter universe, which is exact de Sitter space with torus identification based on the flat chart. We show that past incomplete nullExpand
Constraining neutrino masses, the cosmological constant and BSM physics from the weak gravity conjecture
A bstractIt is known that there are AdS vacua obtained from compactifying the SM to 2 or 3 dimensions. The existence of such vacua depends on the value of neutrino masses through the Casimir effect.Expand
Cosmology of Tsallis holographic scalar field models in Chern–Simons modified gravity and optimization of model parameters through χ2 minimization
Abstract The present study reports reconstruction schemes for tachyon, k-essence and dilaton scalar field model of Dark Energy (DE) through Tsallis holographic dark fluid under the framework ofExpand
Constraining the EW Hierarchy from the Weak Gravity Conjecture
In this addendum we complement the remarks made in ref[1] constraining the value of the cosmological constant $\Lambda_4$ in terms of neutrino masses. Those were based on a sharpened version of theExpand
Weighing the vacuum energy
We discuss the weight of vacuum energy in various contexts. First, we compute the vacuum energy for flat spacetimes of the form $\mathbb{T}^3 \times \mathbb{R}$, where $\mathbb{T}^3$ stands for aExpand

References

SHOWING 1-10 OF 18 REFERENCES
Finite temperature structure of the compactified standard model
We analyze the finite temperature structure of the standard model coupled to gravity with one and two dimensions compactified (on a circle and a torus). We find that finite temperature effects washExpand
Standard model vacua for two-dimensional compactifications
We examine the structure of lower-dimensional standard model vacua for two-dimensional compactifications (on a 2D torus and on a 2D sphere). In the case of the torus we find a new standard modelExpand
Fermions and stability in five-dimensional Kaluza-Klein theory
Abstract We examine, at the one-loop level, the effects of quantized fermion and boson fields in a five-dimensional Kaluza-Klein universe. It is shown that massive fermions, as well as massiveExpand
Enhanced symmetries of orbifolds from moduli stabilization
Abstract We study a supersymmetric field theory in six dimensions compactified on the orbifold T 2 / Z 2 with two Wilson lines. After supersymmetry breaking, the Casimir energy fixes the shape moduliExpand
Fundamental regions of superspace.
  • Mcguigan
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1990
We consider the fundamental region for the space of spatial metrics over ({ital d}{minus}1)-dimensional tori in order to normalize the universal wave function.
Quantum horizons of the standard model landscape
The long-distance effective field theory of our Universe—the Standard Model coupled to gravity—has a unique 4D vacuum, but we show that it also has a landscape of lower-dimensional vacua, with theExpand
Dynamical compactification from de Sitter space
We show that D-dimensional de Sitter space is unstable to the nucleation of non-singular geometries containing spacetime regions with different numbers of macroscopic dimensions, leading to aExpand
Casimir Energy and Radius Stabilization in Five and Six Dimensional Orbifolds
We compute the one-loop Casimir energy of gravity and matter fields, obeying various boundary conditions, in 5-dimensional S^1/Z_2 and 6-dimensional T^2/Z_k orbifolds. We discuss the role of theExpand
The Automorphic Membrane
We present a 1-loop toroidal membrane winding sum reproducing the conjectured M-theory, four-graviton, eight derivative, R4 amplitude. The U-duality and toroidal membrane world-volume modular groupsExpand
Review of Particle Physics
This biennial Review summarizes much of particle physics. Using data from previous editions, plus 2158 new measurements from 551 papers, we list, evaluate, and average measured properties of gaugeExpand
...
1
2
...