Title: 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 complex spurion field, θ _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 information field θij 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) × U(1)/SO(N) with N degenerate Majorana masses, and 12N(N+1) Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.

Authors:

Barenboim, Gabriela ^[1]; Hill, Christopher T. ^[2]

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+ Show Author Affiliations

1. Univ. of Valencia (Spain)
2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Publication Date:

2021-02-13

Research Org.:

Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP); European Regional Development Fund (FEDER); Generalitat Valenciana; European Union (EU)

OSTI Identifier:

1569239

Report Number(s):

FERMILAB-PUB-19-457-T; IFIC/19-37; arXiv:1909.01956
Journal ID: ISSN 1434-6044; oai:inspirehep.net:1752571

Grant/Contract Number:  

AC02-07CH11359; SEV-2014-0398; FIS2015-72245-EXP; FPA2017-845438; PROMETEOII/2017/033

Resource Type:

Journal Article: Accepted Manuscript

Journal Name:

European Physical Journal. C, Particles and Fields

Additional Journal Information:

Journal Volume: 81; Journal Issue: 2; Journal ID: ISSN 1434-6044

Publisher:

Springer

Country of Publication:

United States

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS