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2015

Oscillatory Attractors: A New Cosmological Phase

Bains, Jasdeep S., Hertzberg, Mark P., Wilczek, Frank

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In expanding FRW spacetimes, it is usually the case that homogeneous scalar fields redshift and their amplitudes approach limiting values: Hubble friction usually ensures that the field relaxes to its minimum energy configuration, which is usually a static configuration.

Here we discover a class of relativistic scalar field models in which the attractor behavior is the field oscillating indefinitely, with finite amplitude, in an expanding FRW spacetime, despite the presence of Hubble friction.
This is an example of spontaneous breaking of time translation symmetry.
We find that the effective equation of state of the field has average value $\langle w\rangle=-1$, implying that the field itself could drive an inflationary or dark energy dominated phase.

Oscillatory Attractors: A New Cosmological Phase · Around

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F. Wilczek, “Quantum Time Crystals,” Phys. Rev. Lett. 109
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F. Wilczek, “Superfluidity and Space-Time Translation Symmetry Breaking,” Phys. Rev. Lett. 111
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H. H. Chi and H. J. He, “Single-valued Hamiltonian via Legendre�Fenchel transformation and time translation symmetry,” Nucl. Phys. B 885
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A. D. Shapere, F. Wilczek and Z. Xiong, “Models of Topology Change,” arXiv:1210.3545 [hep-th]
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P. W. Graham, D. E. Kaplan and S. Rajendran, “Cosmological Relaxation of the Electroweak Scale,” arXiv:1504.07551 [hep-ph]
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Cited in the paper.

Then

T. L. Curtright and C. K. Zachos, “Branched Hamiltonians and Supersymmetry,” J. Phys. A 47
Original
2014
Later among the works it cites.
M. P. Hertzberg, J. Karouby, W. G. Spitzer, J. C. Becerra and L. Li, “Theory of self-resonance after inflation. I. Adiabatic and isocurvature Goldstone modes,” Phys. Rev. D 90
Original
2014
Later among the works it cites.
M. P. Hertzberg, J. Karouby, W. G. Spitzer, J. C. Becerra and L. Li, “Theory of self-resonance after inflation. II. Quantum mechanics and particle-antiparticle asymmetry,” Phys. Rev. D 90
Original
2014
Later among the works it cites.
K. Sacha, “Modeling spontaneous breaking of time-translation symmetry,” Phys. Rev. A 91
2015
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