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Gravity from Symmetry Breaking Phase Transition.

G E Volovik1,2

  • 1Low Temperature Laboratory, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland.

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|May 9, 2022
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Summary
This summary is machine-generated.

This study explores gravity emerging from a fermionic vacuum, inspired by Diakonov's theory. It proposes a phase transition where tetrad fields, as fermionic composites, drive this emergence, analogous to superfluid Helium-3 B-phase.

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Condensed Matter Physics

Background:

  • Dmitry Diakonov's 2013 paper proposed emergent gravity from a fermionic vacuum.
  • Phase transitions are key mechanisms for emergent phenomena in physics.
  • Superfluid Helium-3 B-phase offers an experimental analogue for emergent phenomena.

Purpose of the Study:

  • To elaborate on Diakonov's theory of emergent gravity from a fermionic vacuum.
  • To investigate the role of tetrad fields as order parameters in this emergent gravity scenario.
  • To draw parallels between emergent gravity and symmetry breaking in superfluid Helium-3 B-phase.

Main Methods:

  • Theoretical analysis of fermionic field theory.
  • Exploration of phase transition dynamics.
  • Analogy with symmetry breaking in condensed matter systems (superfluid Helium-3 B-phase).

Main Results:

  • Gravity emerges via a phase transition in the fermionic vacuum.
  • The tetrad field, a bilinear fermionic composite, acts as the order parameter.
  • The theory predicts 6 Nambu-Goldstone modes, 6 massive gauge bosons, and 6 Higgs fields.

Conclusions:

  • The mechanism of emergent gravity is analogous to phenomena in superfluid Helium-3 B-phase.
  • Higgs collective modes in this context correspond to massive gravitons.
  • Emergent general relativity arises from these Higgs modes, yielding two massless gravitational waves.