Gravity from Symmetry Breaking Phase Transition
Abstract
The paper is devoted to the memory of Dmitry Diakonov. We discuss gravity emerging in the fermionic vacuum as suggested by Diakonov 10 years ago in his paper "Towards latticeregularized Quantum Gravity". [1] Gravity emerges in the phase transition. The order parameter in this transition is the tetrad field e_{μ}^{a}, which appears as the bilinear composite of the fermionic fields. The similar scenario of the symmetry breaking takes place in the Bphase of superfluid ^{3}He, where the real part of the spintriplet pwave order parameter matrix A_{ai} plays the role of the emerging tetrad (triad). In Diakonov theory this symmetry breaking gives 6 NambuGoldstone modes; 6 gauge bosons in the spinconnection fields, which absorb 6 NG modes and become massive gauge bosons; and 6 Higgs fields. In ^{3}HeB, these Higgs collective modes correspond to 6 massive gravitons, while in the emerging general relativity the Higgs collective modes give rise to two massless gravitational waves.
 Publication:

Journal of Low Temperature Physics
 Pub Date:
 May 2022
 DOI:
 10.1007/s1090902202694z
 arXiv:
 arXiv:2111.07817
 Bibcode:
 2022JLTP..207..127V
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter  Other Condensed Matter;
 High Energy Physics  Phenomenology
 EPrint:
 6 pages, no figures, devoted to the memory of Dmitry Diakonov