Sterile Neutrinos, Black Hole Vacuum and Holographic Principle
Abstract
We construct an effective field theory (EFT) model that describes matter field interactions with Schwarzschild mini-black-holes (SBH's), treated as a scalar field, $$B_0(x)$$. Fermion interactions with SBH's require a random complex spurion field, $$\theta_{ij}$$, which we interpret as the EFT description of "holographic information," which is correlated with the SBH as a composite system. We consider Hawking's virtual black hole vacuum (VBH) as a Higgs phase, $$\langle B_0 \rangle =V$$. Integrating sterile neutrino loops, the field $$\theta_{ij}$$ is promoted to a dynamical field, necessarily developing a tachyonic instability and acquiring a VEV of order the Planck scale. For $N$ sterile neutrinos this breaks the vacuum to $$SU(N)\times U(1)/SO(N)$$ with $N$ degenerate Majorana masses, and $(1/2)N(N+1)$ Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.
- Authors:
-
- Valencia U., IFIC
- Fermilab
- Publication Date:
- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
- OSTI Identifier:
- 1569239
- Report Number(s):
- arXiv:1909.01956; IFIC/19-37; FERMILAB-PUB-19-457-T
oai:inspirehep.net:1752571
- DOE Contract Number:
- AC02-07CH11359
- Resource Type:
- Journal Article
- Journal Name:
- TBD
- Additional Journal Information:
- Journal Name: TBD
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Barenboim, Gabriela, and Hill, Christopher T. Sterile Neutrinos, Black Hole Vacuum and Holographic Principle. United States: N. p., 2019.
Web.
Barenboim, Gabriela, & Hill, Christopher T. Sterile Neutrinos, Black Hole Vacuum and Holographic Principle. United States.
Barenboim, Gabriela, and Hill, Christopher T. Wed .
"Sterile Neutrinos, Black Hole Vacuum and Holographic Principle". United States. https://www.osti.gov/servlets/purl/1569239.
@article{osti_1569239,
title = {Sterile Neutrinos, Black Hole Vacuum and Holographic Principle},
author = {Barenboim, Gabriela and Hill, Christopher T.},
abstractNote = {We construct an effective field theory (EFT) model that describes matter field interactions with Schwarzschild mini-black-holes (SBH's), treated as a scalar field, $B_0(x)$. Fermion interactions with SBH's require a random complex spurion field, $\theta_{ij}$, which we interpret as the EFT description of "holographic information," which is correlated with the SBH as a composite system. We consider Hawking's virtual black hole vacuum (VBH) as a Higgs phase, $\langle B_0 \rangle =V$. Integrating sterile neutrino loops, the field $\theta_{ij}$ is promoted to a dynamical field, necessarily developing a tachyonic instability and acquiring a VEV of order the Planck scale. For $N$ sterile neutrinos this breaks the vacuum to $SU(N)\times U(1)/SO(N)$ with $N$ degenerate Majorana masses, and $(1/2)N(N+1)$ Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {9}
}
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